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12156848178930 = 232571343244714107
BaseRepresentation
bin1011000011100111110010…
…0111100000011011110010
31121001011221122121011002200
42300321330213200123302
53043134211113211210
641504440130524030
72363206013360010
oct260717447403362
947034848534080
1012156848178930
113967765961164
1214440b3a36616
136a2502989210
14300574a898b0
15161362d2a0c0
hexb0e7c9e06f2

12156848178930 has 384 divisors, whose sum is σ = 39825700282368. Its totient is φ = 2504109758976.

The previous prime is 12156848178913. The next prime is 12156848179027. The reversal of 12156848178930 is 3987184865121.

12156848178930 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 68 + 481 + 7 + 8 + 93 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 861752937 + ... + 861767043.

It is an arithmetic number, because the mean of its divisors is an integer number (103712761152).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12156848178930 = 24313696357860, but 3⋅12156848178930 = 36470544536790 is not.

Almost surely, 212156848178930 is an apocalyptic number.

12156848178930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12156848178930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19912850141184).

12156848178930 is an abundant number, since it is smaller than the sum of its proper divisors (27668852103438).

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

12156848178930 is a wasteful number, since it uses less digits than its factorization.

12156848178930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16630 (or 16627 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 12156848178930 in words is "twelve trillion, one hundred fifty-six billion, eight hundred forty-eight million, one hundred seventy-eight thousand, nine hundred thirty".