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46910902164 = 223729177710837
BaseRepresentation
bin101011101100000110…
…111000111110010100
311111002022010202000220
4223230012320332110
51232033142332124
633314531234340
73250332042420
oct535406707624
9144068122026
1046910902164
1118992a88135
1291124489b0
134567a91099
1423b0373b80
1513485a1879
hexaec1b8f94

46910902164 has 96 divisors (see below), whose sum is σ = 129494158080. Its totient is φ = 12932462592.

The previous prime is 46910902139. The next prime is 46910902211. The reversal of 46910902164 is 46120901964.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4323354 + ... + 4334190.

It is an arithmetic number, because the mean of its divisors is an integer number (1348897480).

Almost surely, 246910902164 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 46910902164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64747079040).

46910902164 is an abundant number, since it is smaller than the sum of its proper divisors (82583255916).

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

46910902164 is a wasteful number, since it uses less digits than its factorization.

46910902164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12657 (or 12655 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 46910902164 in words is "forty-six billion, nine hundred ten million, nine hundred two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 1777 2436 3554 5331 7108 10662 10837 12439 21324 21674 24878 32511 37317 43348 49756 51533 65022 74634 75859 103066 130044 149268 151718 154599 206132 227577 303436 309198 314273 360731 455154 618396 628546 721462 910308 942819 1082193 1257092 1442924 1885638 2164386 2199911 3771276 4328772 4399822 6599733 8799644 13199466 19257349 26398932 38514698 57772047 77029396 115544094 134801443 231088188 269602886 404404329 539205772 558463121 808808658 1116926242 1617617316 1675389363 2233852484 3350778726 3909241847 6701557452 7818483694 11727725541 15636967388 23455451082 46910902164