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12969556992 = 2103271271583
BaseRepresentation
bin11000001010000101…
…11011110000000000
31020110212111202111200
430011002323300000
5203030201310432
65542542341200
7636253262340
oct140502736000
936425452450
1012969556992
115555a82147
12261b58a800
1312b8ca31a2
148b06c2d20
1550d93ba7c
hex3050bbc00

12969556992 has 264 divisors, whose sum is σ = 43163467776. Its totient is φ = 3674087424.

The previous prime is 12969556969. The next prime is 12969557011. The reversal of 12969556992 is 29965596921.

12969556992 is a `hidden beast` number, since 1 + 2 + 9 + 69 + 5 + 569 + 9 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8192233 + ... + 8193815.

It is an arithmetic number, because the mean of its divisors is an integer number (163497984).

Almost surely, 212969556992 is an apocalyptic number.

12969556992 is a gapful number since it is divisible by the number (12) 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 12969556992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21581733888).

12969556992 is an abundant number, since it is smaller than the sum of its proper divisors (30193910784).

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

12969556992 is a wasteful number, since it uses less digits than its factorization.

12969556992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1722 counting only the distinct ones).

The product of its digits is 23619600, while the sum is 63.

The spelling of 12969556992 in words is "twelve billion, nine hundred sixty-nine million, five hundred fifty-six thousand, nine hundred ninety-two".