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107890057157256 = 233211233013751613
BaseRepresentation
bin11000100010000000011100…
…100010000001101010001000
3112011000012002120211211210100
4120202000130202001222020
5103120132314113013011
61021244001422045400
731503541123335333
oct3042003442015210
9464005076754710
10107890057157256
1131416a09639400
1210125995a19860
134827cb133326a
141c8dc99b0961a
15c7170467cd56
hex62201c881a88

107890057157256 has 144 divisors (see below), whose sum is σ = 321278356215180. Its totient is φ = 32684043744000.

The previous prime is 107890057157221. The next prime is 107890057157261. The reversal of 107890057157256 is 652751750098701.

It is a happy number.

107890057157256 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 9 + 0 + 0 + 5 + 7 + 1 + 572 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107870865488100 + 19191669156 = 10386090^2 + 138534^2 .

It is a junction number, because it is equal to n+sod(n) for n = 107890057157193 and 107890057157202.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26882506 + ... + 30634118.

Almost surely, 2107890057157256 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 107890057157256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160639178107590).

107890057157256 is an abundant number, since it is smaller than the sum of its proper divisors (213388299057924).

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

107890057157256 is a wasteful number, since it uses less digits than its factorization.

107890057157256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754948 (or 3754930 counting only the distinct ones).

The product of its (nonzero) digits is 37044000, while the sum is 63.

The spelling of 107890057157256 in words is "one hundred seven trillion, eight hundred ninety billion, fifty-seven million, one hundred fifty-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 3301 4356 6602 8712 9903 13204 19806 26408 29709 36311 39612 59418 72622 79224 108933 118836 145244 217866 237672 290488 326799 399421 435732 653598 798842 871464 1198263 1307196 1597684 2396526 2614392 3195368 3594789 3751613 4793052 7189578 7503226 9586104 11254839 14379156 15006452 22509678 28758312 30012904 33764517 41267743 45019356 67529034 82535486 90038712 123803229 135058068 165070972 247606458 270116136 330141944 371409687 453945173 495212916 742819374 907890346 990425832 1361835519 1485638748 1815780692 2723671038 2971277496 3631561384 4085506557 5447342076 8171013114 10894684152 12384074513 16342026228 24768149026 32684052456 37152223539 49536298052 74304447078 99072596104 111456670617 136224819643 148608894156 222913341234 272449639286 297217788312 408674458929 445826682468 544899278572 817348917858 891653364936 1089798557144 1226023376787 1498473016073 1634697835716 2452046753574 2996946032146 3269395671432 4495419048219 4904093507148 5993892064292 8990838096438 9808187014296 11987784128584 13486257144657 17981676192876 26972514289314 35963352385752 53945028578628 107890057157256