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12888041328 = 243329833429
BaseRepresentation
bin11000000000010111…
…11110011101110000
31020021012010100001000
430000023332131300
5202343314310303
65530511242000
7634243354341
oct140013763560
936235110030
1012888041328
115513a66228
1225b8219300
1312a5131c76
148a39440c8
155066d8da3
hex3002fe770

12888041328 has 40 divisors (see below), whose sum is σ = 36993453200. Its totient is φ = 4296013632.

The previous prime is 12888041281. The next prime is 12888041347. The reversal of 12888041328 is 82314088821.

It is a happy number.

12888041328 is a `hidden beast` number, since 1 + 288 + 8 + 0 + 41 + 328 = 666.

It is a super-2 number, since 2×128880413282 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 14916283 + ... + 14917146.

It is an arithmetic number, because the mean of its divisors is an integer number (924836330).

Almost surely, 212888041328 is an apocalyptic number.

12888041328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12888041328 is an abundant number, since it is smaller than the sum of its proper divisors (24105411872).

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

12888041328 is a wasteful number, since it uses less digits than its factorization.

12888041328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29833446 (or 29833434 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 12888041328 in words is "twelve billion, eight hundred eighty-eight million, forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 29833429 59666858 89500287 119333716 179000574 238667432 268500861 358001148 477334864 537001722 716002296 805502583 1074003444 1432004592 1611005166 2148006888 3222010332 4296013776 6444020664 12888041328