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12705672576 = 27333087689
BaseRepresentation
bin10111101010101000…
…10010110110000000
31012210110222001010210
423311110102312000
5202010123010301
65500434354120
7626600302122
oct136524226600
935713861123
1012705672576
115430025953
12256712b940
13127640bb6c
14887631212
154e56b3ad6
hex2f5512d80

12705672576 has 32 divisors (see below), whose sum is σ = 33749443800. Its totient is φ = 4235224064.

The previous prime is 12705672559. The next prime is 12705672631. The reversal of 12705672576 is 67527650721.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×127056725762 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16543461 + ... + 16544228.

Almost surely, 212705672576 is an apocalyptic number.

12705672576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12705672576 is an abundant number, since it is smaller than the sum of its proper divisors (21043771224).

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

12705672576 is an equidigital number, since it uses as much as digits as its factorization.

12705672576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33087706 (or 33087694 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 12705672576 in words is "twelve billion, seven hundred five million, six hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 33087689 66175378 99263067 132350756 198526134 264701512 397052268 529403024 794104536 1058806048 1588209072 2117612096 3176418144 4235224192 6352836288 12705672576