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12482527680 = 26345789773
BaseRepresentation
bin10111010000000010…
…00100000111000000
31012012221002002220000
423220001010013000
5201031011341210
65422343520000
7621220506660
oct135001040700
935187062800
1012482527680
115326074887
122504459000
13123c10cb6c
14865b461a0
154d0cd6ac0
hex2e80441c0

12482527680 has 560 divisors, whose sum is σ = 51382330560. Its totient is φ = 2817441792.

The previous prime is 12482527657. The next prime is 12482527691. The reversal of 12482527680 is 8672528421.

12482527680 is a `hidden beast` number, since 1 + 2 + 48 + 2 + 527 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 16147774 + ... + 16148546.

Almost surely, 212482527680 is an apocalyptic number.

12482527680 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 12482527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25691165280).

12482527680 is an abundant number, since it is smaller than the sum of its proper divisors (38899802880).

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

12482527680 is an equidigital number, since it uses as much as digits as its factorization.

12482527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12482527680 in words is "twelve billion, four hundred eighty-two million, five hundred twenty-seven thousand, six hundred eighty".