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12705931776 = 2938272091
BaseRepresentation
bin10111101010101010…
…10010001000000000
31012210111110012200210
423311111102020000
5202010204304101
65500444114120
7626602431606
oct136525221000
935714405623
1012705931776
11543019266a
122567235940
13127649cb35
1488769b876
154e57157d6
hex2f5552200

12705931776 has 40 divisors (see below), whose sum is σ = 33849400464. Its totient is φ = 4235310080.

The previous prime is 12705931723. The next prime is 12705931787. The reversal of 12705931776 is 67713950721.

It is a super-2 number, since 2×127059317762 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4134510 + ... + 4137581.

Almost surely, 212705931776 is an apocalyptic number.

12705931776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12705931776 is an abundant number, since it is smaller than the sum of its proper divisors (21143468688).

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

12705931776 is an frugal number, since it uses more digits than its factorization.

12705931776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272112 (or 8272096 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 48.

The spelling of 12705931776 in words is "twelve billion, seven hundred five million, nine hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 8272091 16544182 24816273 33088364 49632546 66176728 99265092 132353456 198530184 264706912 397060368 529413824 794120736 1058827648 1588241472 2117655296 3176482944 4235310592 6352965888 12705931776