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46340115768 = 23331338116033
BaseRepresentation
bin101011001010000101…
…100000110100111000
311102121112002210022000
4223022011200310320
51224401032201033
633142141301000
73230231325222
oct531205406470
9142545083260
1046340115768
111871a872941
128b93264760
1344a675355b
142358633412
151313404a13
hexaca160d38

46340115768 has 64 divisors (see below), whose sum is σ = 128740192800. Its totient is φ = 15444587520.

The previous prime is 46340115763. The next prime is 46340115791. The reversal of 46340115768 is 86751104364.

46340115768 is a `hidden beast` number, since 4 + 63 + 4 + 0 + 11 + 576 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46340115763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2882280 + ... + 2898312.

Almost surely, 246340115768 is an apocalyptic number.

It is an amenable number.

46340115768 is an abundant number, since it is smaller than the sum of its proper divisors (82400077032).

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

46340115768 is a wasteful number, since it uses less digits than its factorization.

46340115768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29429 (or 29419 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 46340115768 in words is "forty-six billion, three hundred forty million, one hundred fifteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 13381 16033 26762 32066 40143 48099 53524 64132 80286 96198 107048 120429 128264 144297 160572 192396 240858 288594 321144 361287 384792 432891 481716 577188 722574 865782 963432 1154376 1445148 1731564 2890296 3463128 214537573 429075146 643612719 858150292 1287225438 1716300584 1930838157 2574450876 3861676314 5148901752 5792514471 7723352628 11585028942 15446705256 23170057884 46340115768