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13296324672 = 2632163141619
BaseRepresentation
bin11000110001000010…
…11101000001000000
31021022122101021111100
430120201131001000
5204212324342142
610035214214400
7650331615651
oct143041350100
937278337440
1013296324672
115703479584
1226b0ab4400
13133b8b3947
14901c63528
1552c486b4c
hex31885d040

13296324672 has 84 divisors (see below), whose sum is σ = 38345597680. Its totient is φ = 4404886272.

The previous prime is 13296324667. The next prime is 13296324707. The reversal of 13296324672 is 27642369231.

13296324672 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 632 + 4 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×132963246723 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23079 + ... + 164697.

Almost surely, 213296324672 is an apocalyptic number.

13296324672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13296324672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19172798840).

13296324672 is an abundant number, since it is smaller than the sum of its proper divisors (25049273008).

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

13296324672 is a wasteful number, since it uses less digits than its factorization.

13296324672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141800 (or 141787 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 13296324672 in words is "thirteen billion, two hundred ninety-six million, three hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 163 192 288 326 489 576 652 978 1304 1467 1956 2608 2934 3912 5216 5868 7824 10432 11736 15648 23472 31296 46944 93888 141619 283238 424857 566476 849714 1132952 1274571 1699428 2265904 2549142 3398856 4531808 5098284 6797712 9063616 10196568 13595424 20393136 23083897 27190848 40786272 46167794 69251691 81572544 92335588 138503382 184671176 207755073 277006764 369342352 415510146 554013528 738684704 831020292 1108027056 1477369408 1662040584 2216054112 3324081168 4432108224 6648162336 13296324672