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12949667136 = 263273211723
BaseRepresentation
bin11000000111101110…
…00011110101000000
31020102111002020202100
430003313003311000
5203010103322021
65540552150400
7635622232410
oct140367036500
936374066670
1012949667136
11554582764a
122614998400
1312b4b2ac43
148abbc6640
1550bd0d626
hex303dc3d40

12949667136 has 84 divisors (see below), whose sum is σ = 42420450592. Its totient is φ = 3699903744.

The previous prime is 12949667117. The next prime is 12949667149. The reversal of 12949667136 is 63176694921.

12949667136 is a `hidden beast` number, since 12 + 9 + 496 + 6 + 7 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1601830 + ... + 1609893.

Almost surely, 212949667136 is an apocalyptic number.

12949667136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12949667136 is an abundant number, since it is smaller than the sum of its proper divisors (29470783456).

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

12949667136 is a wasteful number, since it uses less digits than its factorization.

12949667136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211748 (or 3211735 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 12949667136 in words is "twelve billion, nine hundred forty-nine million, six hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 3211723 6423446 9635169 12846892 19270338 22482061 25693784 28905507 38540676 44964122 51387568 57811014 67446183 77081352 89928244 102775136 115622028 134892366 154162704 179856488 202338549 205550272 231244056 269784732 308325408 359712976 404677098 462488112 539569464 616650816 719425952 809354196 924976224 1079138928 1438851904 1618708392 1849952448 2158277856 3237416784 4316555712 6474833568 12949667136