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12744676413 = 32735098111
BaseRepresentation
bin10111101111010010…
…00101010000111101
31012220012100122100100
423313221011100331
5202100114121123
65504350351313
7630552651000
oct136751052075
935805318310
1012744676413
115450046027
1225781bb539
131281517161
1488c8a5537
154e8d1a643
hex2f7a4543d

12744676413 has 48 divisors (see below), whose sum is σ = 21513024000. Its totient is φ = 7267468320.

The previous prime is 12744676387. The next prime is 12744676421. The reversal of 12744676413 is 31467644721.

12744676413 is a `hidden beast` number, since 127 + 4 + 46 + 76 + 413 = 666.

It is not a de Polignac number, because 12744676413 - 29 = 12744675901 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12744676013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1567228 + ... + 1575338.

It is an arithmetic number, because the mean of its divisors is an integer number (448188000).

Almost surely, 212744676413 is an apocalyptic number.

It is an amenable number.

12744676413 is a deficient number, since it is larger than the sum of its proper divisors (8768347587).

12744676413 is an equidigital number, since it uses as much as digits as its factorization.

12744676413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8647 (or 8630 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 12744676413 in words is "twelve billion, seven hundred forty-four million, six hundred seventy-six thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 49 63 147 343 441 509 1029 1527 3087 3563 4581 8111 10689 24333 24941 32067 56777 72999 74823 170331 174587 224469 397439 510993 523761 1192317 1571283 2782073 3576951 4128499 8346219 12385497 25038657 28899493 37156491 86698479 202296451 260095437 606889353 1416075157 1820668059 4248225471 12744676413