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12575445376 = 271325130109
BaseRepresentation
bin10111011011000111…
…00001000110000000
31012110101220211000011
423231203201012000
5201223303223001
65435503234304
7623426344024
oct135543410600
935411824004
1012575445376
11537356926a
12252b5a8994
131255443b50
14874212384
154d903cd51
hex2ed8e1180

12575445376 has 64 divisors (see below), whose sum is σ = 27088160400. Its totient is φ = 5780736000.

The previous prime is 12575445361. The next prime is 12575445391. The reversal of 12575445376 is 67354457521.

It is an interprime number because it is at equal distance from previous prime (12575445361) and next prime (12575445391).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402610 + ... + 432718.

Almost surely, 212575445376 is an apocalyptic number.

12575445376 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 12575445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544080200).

12575445376 is an abundant number, since it is smaller than the sum of its proper divisors (14512715024).

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

12575445376 is a wasteful number, since it uses less digits than its factorization.

12575445376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30387 (or 30375 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 49.

The spelling of 12575445376 in words is "twelve billion, five hundred seventy-five million, four hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 251 416 502 832 1004 1664 2008 3263 4016 6526 8032 13052 16064 26104 30109 32128 52208 60218 104416 120436 208832 240872 391417 417664 481744 782834 963488 1565668 1926976 3131336 3853952 6262672 7557359 12525344 15114718 25050688 30229436 50101376 60458872 98245667 120917744 196491334 241835488 392982668 483670976 785965336 967341952 1571930672 3143861344 6287722688 12575445376