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12570435696 = 2437213537757
BaseRepresentation
bin10111011010100000…
…11010000001110000
31012110001111022000110
423231100122001300
5201221012420241
65435204021320
7623335640400
oct135520320160
935401438013
1012570435696
115370757435
122529991840
1312543ab840
148736aa800
154d889d816
hex2ed41a070

12570435696 has 240 divisors, whose sum is σ = 41454159264. Its totient is φ = 3252307968.

The previous prime is 12570435679. The next prime is 12570435697. The reversal of 12570435696 is 69653407521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12570435697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1616650 + ... + 1624406.

Almost surely, 212570435696 is an apocalyptic number.

12570435696 is a gapful number since it is divisible by the number (16) 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 12570435696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727079632).

12570435696 is an abundant number, since it is smaller than the sum of its proper divisors (28883723568).

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

12570435696 is a wasteful number, since it uses less digits than its factorization.

12570435696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7848 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 12570435696 in words is "twelve billion, five hundred seventy million, four hundred thirty-five thousand, six hundred ninety-six".