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12887395488 = 2534114759163
BaseRepresentation
bin11000000000010011…
…00000110010100000
31020021010220112010000
430000021200302200
5202343133123423
65530445340000
7634235024412
oct140011406240
936233815100
1012887395488
115513664a80
1225b7b67600
1312a4c67006
148a38169b2
1550660c843
hex300260ca0

12887395488 has 480 divisors, whose sum is σ = 43205944320. Its totient is φ = 3734346240.

The previous prime is 12887395439. The next prime is 12887395501. The reversal of 12887395488 is 88459378821.

12887395488 is a `hidden beast` number, since 1 + 2 + 8 + 87 + 3 + 9 + 548 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79063695 + ... + 79063857.

It is an arithmetic number, because the mean of its divisors is an integer number (90012384).

Almost surely, 212887395488 is an apocalyptic number.

12887395488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12887395488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21602972160).

12887395488 is an abundant number, since it is smaller than the sum of its proper divisors (30318548832).

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

12887395488 is a wasteful number, since it uses less digits than its factorization.

12887395488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 12887395488 in words is "twelve billion, eight hundred eighty-seven million, three hundred ninety-five thousand, four hundred eighty-eight".