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10116064035 = 3257112475647
BaseRepresentation
bin10010110101111011…
…01110001100100011
3222010000011022001100
421122331232030203
5131204203022120
64351450205443
7505454061030
oct113275561443
928100138040
1010116064035
114321288700
121b63a23883
13c52a66a0c
146bd736387
153e3187490
hex25af6e323

10116064035 has 144 divisors (see below), whose sum is σ = 22499463168. Its totient is φ = 4113901440.

The previous prime is 10116064009. The next prime is 10116064039. The reversal of 10116064035 is 53046061101.

10116064035 is a `hidden beast` number, since 1 + 0 + 1 + 16 + 0 + 640 + 3 + 5 = 666.

It is not a de Polignac number, because 10116064035 - 211 = 10116061987 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116064039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1788582 + ... + 1794228.

It is an arithmetic number, because the mean of its divisors is an integer number (156246272).

Almost surely, 210116064035 is an apocalyptic number.

10116064035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10116064035 is an abundant number, since it is smaller than the sum of its proper divisors (12383399133).

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

10116064035 is a wasteful number, since it uses less digits than its factorization.

10116064035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10116064035 in words is "ten billion, one hundred sixteen million, sixty-four thousand, thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 47 55 63 77 99 105 121 141 165 231 235 315 329 363 385 423 495 517 605 693 705 847 987 1089 1155 1551 1645 1815 2115 2541 2585 2961 3465 3619 4235 4653 4935 5445 5647 5687 7623 7755 10857 12705 14805 16941 17061 18095 23265 28235 28435 32571 38115 39529 39809 50823 51183 54285 62117 84705 85305 118587 119427 162855 186351 197645 199045 254115 255915 265409 310585 355761 358281 434819 559053 592935 597135 683287 796227 931755 1304457 1327045 1778805 1791405 1857863 2049861 2174095 2388681 2795265 2919499 3416435 3913371 3981135 4783009 5573589 6149583 6522285 8758497 9289315 10249305 11943405 14349027 14597495 16720767 19566855 20436493 23915045 26275491 27867945 30747915 32114489 43047081 43792485 61309479 71745135 83603835 96343467 102182465 131377455 160572445 183928437 215235405 224801423 289030401 306547395 481717335 674404269 919642185 1124007115 1445152005 2023212807 3372021345 10116064035