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105949495032 = 23323191937491
BaseRepresentation
bin110001010101100010…
…1001111111011111000
3101010110210200000010120
41202223011033323320
53213441032320112
6120401133213240
710440345564033
oct1425305177370
9333423600116
10105949495032
1140a29800847
121864a331220
139cb62a42c4
1451b128401a
152b516e7e8c
hex18ab14fef8

105949495032 has 32 divisors (see below), whose sum is σ = 276389988480. Its totient is φ = 33780998240.

The previous prime is 105949495019. The next prime is 105949495061. The reversal of 105949495032 is 230594949501.

It is a super-2 number, since 2×1059494950322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95968194 + ... + 95969297.

It is an arithmetic number, because the mean of its divisors is an integer number (8637187140).

Almost surely, 2105949495032 is an apocalyptic number.

105949495032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105949495032 is an abundant number, since it is smaller than the sum of its proper divisors (170440493448).

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

105949495032 is a wasteful number, since it uses less digits than its factorization.

105949495032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191937523 (or 191937519 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 105949495032 in words is "one hundred five billion, nine hundred forty-nine million, four hundred ninety-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 191937491 383874982 575812473 767749964 1151624946 1535499928 2303249892 4414562293 4606499784 8829124586 13243686879 17658249172 26487373758 35316498344 52974747516 105949495032