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125000013888 = 263424112657
BaseRepresentation
bin111010001101010010…
…1001101100001000000
3102221122110120122010000
41310122211031201000
54022000000421023
6133231344040000
712013421405241
oct1643245154100
9387573518100
10125000013888
1149015281602
1220286303000
13ba3104c379
14609b40ccc8
1533b8e11243
hex1d1a94d840

125000013888 has 70 divisors (see below), whose sum is σ = 370539215486. Its totient is φ = 41666669568.

The previous prime is 125000013863. The next prime is 125000013911. The reversal of 125000013888 is 888310000521.

125000013888 is a `hidden beast` number, since 12 + 500 + 0 + 0 + 138 + 8 + 8 = 666.

125000013888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 109502751744 + 15497262144 = 330912^2 + 124488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12051145 + ... + 12061512.

Almost surely, 2125000013888 is an apocalyptic number.

125000013888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125000013888 is an abundant number, since it is smaller than the sum of its proper divisors (245539201598).

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

125000013888 is an equidigital number, since it uses as much as digits as its factorization.

125000013888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24112681 (or 24112662 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 125000013888 in words is "one hundred twenty-five billion, thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 24112657 48225314 72337971 96450628 144675942 192901256 217013913 289351884 385802512 434027826 578703768 651041739 771605024 868055652 1157407536 1302083478 1543210048 1736111304 1953125217 2314815072 2604166956 3472222608 3906250434 4629630144 5208333912 6944445216 7812500868 10416667824 13888890432 15625001736 20833335648 31250003472 41666671296 62500006944 125000013888