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12850306560 = 29355713227
BaseRepresentation
bin10111111011111000…
…00001111000000000
31020011120010012200000
423331330001320000
5202304134302220
65523042400000
7633304542420
oct137574017000
936146105600
1012850306560
1154a4732573
1225a7660000
13129a37c4c0
1489c920480
15503233390
hex2fdf01e00

12850306560 has 960 divisors, whose sum is σ = 57053348352. Its totient is φ = 2699329536.

The previous prime is 12850306559. The next prime is 12850306603. The reversal of 12850306560 is 6560305821.

12850306560 is a `hidden beast` number, since 12 + 8 + 50 + 30 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56609167 + ... + 56609393.

Almost surely, 212850306560 is an apocalyptic number.

12850306560 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 12850306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28526674176).

12850306560 is an abundant number, since it is smaller than the sum of its proper divisors (44203041792).

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

12850306560 is an equidigital number, since it uses as much as digits as its factorization.

12850306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12850306560 in words is "twelve billion, eight hundred fifty million, three hundred six thousand, five hundred sixty".