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46164226056 = 233132910974651
BaseRepresentation
bin101010111111100110…
…100011000000001000
311102011021010122222020
4222333212203000020
51224021020213211
633112455324440
73222664306224
oct527746430010
9142137118866
1046164226056
111863a558343
128b44380720
13447918b4c0
14233d129784
151302c5e306
hexabf9a3008

46164226056 has 128 divisors (see below), whose sum is σ = 128718979200. Its totient is φ = 13699123200.

The previous prime is 46164226039. The next prime is 46164226099. The reversal of 46164226056 is 65062246164.

It is a super-2 number, since 2×461642260562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46164225999 and 46164226017.

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, 9923331 + ... + 9927981.

It is an arithmetic number, because the mean of its divisors is an integer number (1005617025).

Almost surely, 246164226056 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 46164226056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64359489600).

46164226056 is an abundant number, since it is smaller than the sum of its proper divisors (82554753144).

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

46164226056 is a wasteful number, since it uses less digits than its factorization.

46164226056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 46164226056 in words is "forty-six billion, one hundred sixty-four million, two hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1097 1131 1508 2194 2262 3016 3291 4388 4524 4651 6582 8776 9048 9302 13164 13953 14261 18604 26328 27906 28522 31813 37208 42783 55812 57044 60463 63626 85566 95439 111624 114088 120926 127252 134879 171132 181389 190878 241852 254504 269758 342264 362778 381756 404637 413569 483704 539516 725556 763512 809274 827138 1079032 1240707 1451112 1618548 1654276 1753427 2481414 3237096 3308552 3506854 4962828 5102147 5260281 7013708 9925656 10204294 10520562 14027416 15306441 20408588 21041124 30612882 40817176 42082248 61225764 66327911 122451528 132655822 147962263 198983733 265311644 295924526 397967466 443886789 530623288 591849052 795934932 887773578 1183698104 1591869864 1775547156 1923509419 3551094312 3847018838 5770528257 7694037676 11541056514 15388075352 23082113028 46164226056