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12663425504400 = 24352114725779423
BaseRepresentation
bin1011100001000110111011…
…1110101001010010010000
31122211121111220012121200020
42320101232332221102100
53124434143412120100
642533255233023440
72444621326525356
oct270215676512220
948747456177606
1012663425504400
11404258a620630
12150630b6b4b80
1370b20468ca48
1431acad6417d6
1516e6110d55a0
hexb846efa9490

12663425504400 has 480 divisors, whose sum is σ = 45370892648448. Its totient is φ = 2992875110400.

The previous prime is 12663425504399. The next prime is 12663425504407. The reversal of 12663425504400 is 440552436621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12663425504407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159403089 + ... + 159482511.

Almost surely, 212663425504400 is an apocalyptic number.

12663425504400 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 12663425504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685446324224).

12663425504400 is an abundant number, since it is smaller than the sum of its proper divisors (32707467144048).

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

12663425504400 is a wasteful number, since it uses less digits than its factorization.

12663425504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79759 (or 79748 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 12663425504400 in words is "twelve trillion, six hundred sixty-three billion, four hundred twenty-five million, five hundred four thousand, four hundred".