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64357113504060 = 2232513239115075481
BaseRepresentation
bin11101010001000010011101…
…11000111010000100111100
322102212110221220010212100200
432220201032320322010330
531413411332024112220
6344513125542123500
716361435160563646
oct1650411670720474
9272773856125320
1064357113504060
11195627758719a3
127274a0b120590
1329bab07c0c730
1411c6c8816d896
1576912234b890
hex3a884ee3a13c

64357113504060 has 144 divisors (see below), whose sum is σ = 211112876257920. Its totient is φ = 15775467402240.

The previous prime is 64357113503989. The next prime is 64357113504091. The reversal of 64357113504060 is 6040531175346.

64357113504060 is a `hidden beast` number, since 6 + 4 + 3 + 5 + 71 + 13 + 504 + 0 + 60 = 666.

It is a super-3 number, since 3×643571135040603 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 64357113503997 and 64357113504015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56978481 + ... + 58097000.

It is an arithmetic number, because the mean of its divisors is an integer number (1466061640680).

Almost surely, 264357113504060 is an apocalyptic number.

64357113504060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64357113504060 is an abundant number, since it is smaller than the sum of its proper divisors (146755762753860).

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

64357113504060 is a wasteful number, since it uses less digits than its factorization.

64357113504060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115075748 (or 115075743 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 64357113504060 in words is "sixty-four trillion, three hundred fifty-seven billion, one hundred thirteen million, five hundred four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 239 260 390 468 478 585 717 780 956 1170 1195 1434 2151 2340 2390 2868 3107 3585 4302 4780 6214 7170 8604 9321 10755 12428 14340 15535 18642 21510 27963 31070 37284 43020 46605 55926 62140 93210 111852 139815 186420 279630 559260 115075481 230150962 345226443 460301924 575377405 690452886 1035679329 1150754810 1380905772 1495981253 1726132215 2071358658 2301509620 2991962506 3452264430 4142717316 4487943759 5178396645 5983925012 6904528860 7479906265 8975887518 10356793290 13463831277 14959812530 17951775036 20713586580 22439718795 26927662554 27503039959 29919625060 44879437590 53855325108 55006079918 67319156385 82509119877 89758875180 110012159836 134638312770 137515199795 165018239754 247527359631 269276625540 275030399590 330036479508 357539519467 412545599385 495054719262 550060799180 715079038934 825091198770 990109438524 1072618558401 1237636798155 1430158077868 1650182397540 1787697597335 2145237116802 2475273596310 3217855675203 3575395194670 4290474233604 4950547192620 5363092792005 6435711350406 7150790389340 10726185584010 12871422700812 16089278376015 21452371168020 32178556752030 64357113504060