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706134060232656 = 2431143254391222601
BaseRepresentation
bin1010000010001110011010010…
…1110100101110111111010000
310102121012202102202201200122020
42200203212211310232333100
51220023300023404421111
610541453301534211440
7301510334200211136
oct24043464564567720
93377182382650566
10706134060232656
11194aa5856140580
1267245618053b80
13244022051076c3
14c6530dc68b756
155698279e5a906
hex28239a5d2efd0

706134060232656 has 160 divisors (see below), whose sum is σ = 2036375280783360. Its totient is φ = 208995351936000.

The previous prime is 706134060232619. The next prime is 706134060232721. The reversal of 706134060232656 is 656232060431607.

706134060232656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7061340602326562 (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 706134060232599 and 706134060232608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576955756 + ... + 578178356.

It is an arithmetic number, because the mean of its divisors is an integer number (12727345504896).

Almost surely, 2706134060232656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706134060232656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018187640391680).

706134060232656 is an abundant number, since it is smaller than the sum of its proper divisors (1330241220550704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

706134060232656 is a wasteful number, since it uses less digits than its factorization.

706134060232656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248105 (or 1248099 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 706134060232656 in words is "seven hundred six trillion, one hundred thirty-four billion, sixty million, two hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3784 5676 7568 11352 22704 25439 50878 76317 101756 152634 203512 279829 305268 407024 559658 610536 839487 1093877 1119316 1221072 1222601 1678974 2187754 2238632 2445202 3281631 3357948 3667803 4375508 4477264 4890404 6563262 6715896 7335606 8751016 9780808 12032647 13126524 13431792 13448611 14671212 17502032 19561616 24065294 26253048 26897222 29342424 36097941 40345833 48130588 52506096 52571843 53794444 58684848 72195882 80691666 96261176 105143686 107588888 144391764 157715529 161383332 192522352 210287372 215177776 288783528 315431058 322766664 420574744 577567056 578290273 630862116 645533328 841149488 1156580546 1261724232 1734870819 2313161092 2523448464 3469741638 4626322184 6939483276 9252644368 13878966552 27757933104 31101746839 62203493678 93305240517 124406987356 186610481034 248813974712 342119215229 373220962068 497627949424 684238430458 746441924136 1026357645687 1337375114077 1368476860916 1492883848272 2052715291374 2674750228154 2736953721832 4012125342231 4105430582748 5349500456308 5473907443664 8024250684462 8210861165496 10699000912616 14711126254847 16048501368924 16421722330992 21398001825232 29422252509694 32097002737848 44133378764541 58844505019388 64194005475696 88266757529082 117689010038776 176533515058164 235378020077552 353067030116328 706134060232656