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12812710560 = 2535138923071
BaseRepresentation
bin10111110111011001…
…00111001010100000
31020001221101010122120
423323230213022200
5202220023214220
65515220504240
7632340146166
oct137354471240
936057333576
1012812710560
1154854940a1
122596b4b080
131292647c50
14897935236
154eeca8a40
hex2fbb272a0

12812710560 has 192 divisors, whose sum is σ = 43954928640. Its totient is φ = 3118325760.

The previous prime is 12812710549. The next prime is 12812710567. The reversal of 12812710560 is 6501721821.

It is not an unprimeable number, because it can be changed into a prime (12812710567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543825 + ... + 566895.

It is an arithmetic number, because the mean of its divisors is an integer number (228931920).

Almost surely, 212812710560 is an apocalyptic number.

12812710560 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 12812710560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21977464320).

12812710560 is an abundant number, since it is smaller than the sum of its proper divisors (31142218080).

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

12812710560 is a wasteful number, since it uses less digits than its factorization.

12812710560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23191 (or 23183 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 12812710560 in words is "twelve billion, eight hundred twelve million, seven hundred ten thousand, five hundred sixty".