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12532639680 = 2633511163809
BaseRepresentation
bin10111010110000000…
…01110011111000000
31012100102101001122000
423223000032133000
5201131323432210
65431333544000
7622366452051
oct135300163700
935312331560
1012532639680
115351391760
1225191a5000
131249607232
1486c66c728
154d53d4ac0
hex2eb00e7c0

12532639680 has 448 divisors, whose sum is σ = 48587558400. Its totient is φ = 3015843840.

The previous prime is 12532639673. The next prime is 12532639703. The reversal of 12532639680 is 8693623521.

12532639680 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 2 + 639 + 6 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 15491116 + ... + 15491924.

Almost surely, 212532639680 is an apocalyptic number.

12532639680 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 12532639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24293779200).

12532639680 is an abundant number, since it is smaller than the sum of its proper divisors (36054918720).

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

12532639680 is a wasteful number, since it uses less digits than its factorization.

12532639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12532639680 in words is "twelve billion, five hundred thirty-two million, six hundred thirty-nine thousand, six hundred eighty".