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12669478920 = 2334571929401
BaseRepresentation
bin10111100110010100…
…01110100000001000
31012200221212012210000
423303022032200020
5201421341311140
65453102523000
7625650536220
oct136312164010
935627765700
1012669478920
11541165503a
122556b96460
13126ba789b7
148828cd080
154e2414a30
hex2f328e808

12669478920 has 320 divisors, whose sum is σ = 51230044800. Its totient is φ = 2743372800.

The previous prime is 12669478919. The next prime is 12669478931. The reversal of 12669478920 is 2987496621.

12669478920 is a `hidden beast` number, since 1 + 26 + 69 + 478 + 92 + 0 = 666.

It is a super-2 number, since 2×126694789202 (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 416220 + ... + 445620.

It is an arithmetic number, because the mean of its divisors is an integer number (160093890).

Almost surely, 212669478920 is an apocalyptic number.

12669478920 is a gapful number since it is divisible by the number (10) 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 12669478920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25615022400).

12669478920 is an abundant number, since it is smaller than the sum of its proper divisors (38560565880).

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

12669478920 is a wasteful number, since it uses less digits than its factorization.

12669478920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29450 (or 29437 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 12669478920 in words is "twelve billion, six hundred sixty-nine million, four hundred seventy-eight thousand, nine hundred twenty".