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12861374464 = 2164432
BaseRepresentation
bin10111111101001100…
…10000000000000000
31020012022221111222101
423332212100000000
5202320002440324
65524115520144
7633500610361
oct137646200000
936168844871
1012861374464
1154aaa01aa4
1225ab2b9054
13129c756163
148a01a1b68
155041bc944
hex2fe990000

12861374464 has 51 divisors (see below), whose sum is σ = 25780748203. Its totient is φ = 6416171008.

The previous prime is 12861374431. The next prime is 12861374473. The reversal of 12861374464 is 46447316821.

The square root of 12861374464 is 113408.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 29032227 + ... + 29032669.

Almost surely, 212861374464 is an apocalyptic number.

12861374464 is the 113408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12861374464

12861374464 is an abundant number, since it is smaller than the sum of its proper divisors (12919373739).

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

12861374464 is an frugal number, since it uses more digits than its factorization.

12861374464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 445 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The spelling of 12861374464 in words is "twelve billion, eight hundred sixty-one million, three hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 443 512 886 1024 1772 2048 3544 4096 7088 8192 14176 16384 28352 32768 56704 65536 113408 196249 226816 392498 453632 784996 907264 1569992 1814528 3139984 3629056 6279968 7258112 12559936 14516224 25119872 29032448 50239744 100479488 200958976 401917952 803835904 1607671808 3215343616 6430687232 12861374464