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12647823552 = 2632721334471
BaseRepresentation
bin10111100011101111…
…00111100011000000
31012122110010000012100
423301313213203000
5201400320323202
65451010430400
7625265504100
oct136167474300
935573100170
1012647823552
115400404041
12254b892400
131267435c80
1487da93200
154e058841c
hex2f1de78c0

12647823552 has 252 divisors, whose sum is σ = 45416791056. Its totient is φ = 3335592960.

The previous prime is 12647823547. The next prime is 12647823583. The reversal of 12647823552 is 25532874621.

12647823552 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 78 + 23 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 12647823498 and 12647823507.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 349677 + ... + 384147.

Almost surely, 212647823552 is an apocalyptic number.

12647823552 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 12647823552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22708395528).

12647823552 is an abundant number, since it is smaller than the sum of its proper divisors (32768967504).

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

12647823552 is a wasteful number, since it uses less digits than its factorization.

12647823552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34516 (or 34496 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 12647823552 in words is "twelve billion, six hundred forty-seven million, eight hundred twenty-three thousand, five hundred fifty-two".