Search a number
-
+
152120775716720 = 24597191655115667
BaseRepresentation
bin100010100101101001100000…
…110011001010111101110000
3201221121121022102010202011222
4202211221200303022331300
5124414321322040413340
61255311153011524212
744020235430001556
oct4245514063127560
9657547272122158
10152120775716720
114451a071125668
121508a037bb9668
1366b5c09c17605
14297c983259bd6
15128c02553e8b5
hex8a5a60ccaf70

152120775716720 has 160 divisors (see below), whose sum is σ = 359275580891136. Its totient is φ = 59892747264000.

The previous prime is 152120775716681. The next prime is 152120775716729. The reversal of 152120775716720 is 27617577021251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152120775716729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9709622327 + ... + 9709637993.

Almost surely, 2152120775716720 is an apocalyptic number.

152120775716720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152120775716720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179637790445568).

152120775716720 is an abundant number, since it is smaller than the sum of its proper divisors (207154805174416).

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

152120775716720 is a wasteful number, since it uses less digits than its factorization.

152120775716720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22519 (or 22513 counting only the distinct ones).

The product of its (nonzero) digits is 2881200, while the sum is 53.

The spelling of 152120775716720 in words is "one hundred fifty-two trillion, one hundred twenty billion, seven hundred seventy-five million, seven hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 191 194 382 388 485 764 776 955 970 1528 1552 1910 1940 3056 3820 3880 6551 7640 7760 13102 15280 15667 18527 26204 31334 32755 37054 52408 62668 65510 74108 78335 92635 104816 125336 131020 148216 156670 185270 250672 262040 296432 313340 370540 524080 626680 635447 741080 1251241 1253360 1270894 1482160 1519699 2502482 2541788 2992397 3039398 3177235 5004964 5083576 5984794 6078796 6256205 6354470 7598495 10009928 10167152 11969588 12157592 12512410 12708940 14961985 15196990 20019856 23939176 24315184 25024820 25417880 29923970 30393980 47878352 50049640 50835760 59847940 60787960 100099280 102634517 119695880 121370377 121575920 205269034 239391760 242740754 290262509 410538068 485481508 513172585 580525018 606851885 821076136 970963016 1026345170 1161050036 1213703770 1451312545 1642152272 1941926032 2052690340 2322100072 2427407540 2902625090 4105380680 4644200144 4854815080 5805250180 8210761360 9709630160 9955548149 11610500360 19603192747 19911096298 23221000720 39206385494 39822192596 49777740745 78412770988 79644385192 98015963735 99555481490 156825541976 159288770384 196031927470 199110962980 313651083952 392063854940 398221925960 784127709880 796443851920 1568255419760 1901509696459 3803019392918 7606038785836 9507548482295 15212077571672 19015096964590 30424155143344 38030193929180 76060387858360 152120775716720