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12610869696 = 2633191013803
BaseRepresentation
bin10111011111010101…
…01001100111000000
31012112212120120001000
423233222221213000
5201311340312241
65443210412000
7624336423645
oct135752514700
935485516030
1012610869696
115391564067
12253b431000
13125c897a99
14878bd3dcc
154dc1d8eb6
hex2efaa99c0

12610869696 has 224 divisors, whose sum is σ = 39421612800. Its totient is φ = 3941913600.

The previous prime is 12610869613. The next prime is 12610869703. The reversal of 12610869696 is 69696801621.

It is a happy number.

12610869696 is a `hidden beast` number, since 12 + 610 + 8 + 6 + 9 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×126108696962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3314131 + ... + 3317933.

Almost surely, 212610869696 is an apocalyptic number.

12610869696 is a gapful number since it is divisible by the number (16) 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 12610869696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19710806400).

12610869696 is an abundant number, since it is smaller than the sum of its proper divisors (26810743104).

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

12610869696 is a wasteful number, since it uses less digits than its factorization.

12610869696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 12610869696 in words is "twelve billion, six hundred ten million, eight hundred sixty-nine thousand, six hundred ninety-six".