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12786689376 = 253338472
BaseRepresentation
bin10111110100010010…
…10110010101100000
31020000010102010022000
423322021112111200
5202141343030001
65512451044000
7631603031526
oct137211262540
936003363260
1012786689376
115471830a8a
12258a2a0600
13128a136cb6
148942c0316
154ec868a86
hex2fa256560

12786689376 has 72 divisors (see below), whose sum is σ = 37304207640. Its totient is φ = 4261121856.

The previous prime is 12786689371. The next prime is 12786689389. The reversal of 12786689376 is 67398668721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12786689376 is a `hidden beast` number, since 127 + 8 + 66 + 89 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×127866893762 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12786689371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3321885 + ... + 3325731.

It is an arithmetic number, because the mean of its divisors is an integer number (518113995).

Almost surely, 212786689376 is an apocalyptic number.

12786689376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12786689376 is an abundant number, since it is smaller than the sum of its proper divisors (24517518264).

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

12786689376 is an frugal number, since it uses more digits than its factorization.

12786689376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7713 (or 3852 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 12786689376 in words is "twelve billion, seven hundred eighty-six million, six hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3847 7694 11541 15388 23082 30776 34623 46164 61552 69246 92328 103869 123104 138492 184656 207738 276984 369312 415476 553968 830952 1107936 1661904 3323808 14799409 29598818 44398227 59197636 88796454 118395272 133194681 177592908 236790544 266389362 355185816 399584043 473581088 532778724 710371632 799168086 1065557448 1420743264 1598336172 2131114896 3196672344 4262229792 6393344688 12786689376