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12729718656 = 273211050103
BaseRepresentation
bin10111101101100000…
…00001011110000000
31012212011012201011100
423312300001132000
5202032301444111
65503054014400
7630311552244
oct136660013600
935764181140
1012729718656
11544265a046
1225731a7400
13127b3aab05
1488a8d0424
154e7863756
hex2f6c01780

12729718656 has 48 divisors (see below), whose sum is σ = 36631094760. Its totient is φ = 4243239168.

The previous prime is 12729718649. The next prime is 12729718657. The reversal of 12729718656 is 65681792721.

12729718656 is a `hidden beast` number, since 127 + 297 + 186 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12729718657) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5523900 + ... + 5526203.

Almost surely, 212729718656 is an apocalyptic number.

12729718656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12729718656 is an abundant number, since it is smaller than the sum of its proper divisors (23901376104).

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

12729718656 is a wasteful number, since it uses less digits than its factorization.

12729718656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11050123 (or 11050108 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 12729718656 in words is "twelve billion, seven hundred twenty-nine million, seven hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11050103 22100206 33150309 44200412 66300618 88400824 99450927 132601236 176801648 198901854 265202472 353603296 397803708 530404944 707206592 795607416 1060809888 1414413184 1591214832 2121619776 3182429664 4243239552 6364859328 12729718656