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12337993484832 = 253334031384757
BaseRepresentation
bin1011001110001010100110…
…1110000000101000100000
31121200111111222110010200110
42303202221232000220200
53104121202313003312
642123555043251320
72412250660150251
oct263425156005040
947614458403613
1012337993484832
113a27571742644
121473229079b40
136b6610985062
1430923aa18b28
15165e15d6843c
hexb38a9b80a20

12337993484832 has 48 divisors (see below), whose sum is σ = 32387414032512. Its totient is φ = 4112641493760.

The previous prime is 12337993484827. The next prime is 12337993484857. The reversal of 12337993484832 is 23848439973321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31874598 + ... + 32259354.

It is an arithmetic number, because the mean of its divisors is an integer number (674737792344).

Almost surely, 212337993484832 is an apocalyptic number.

12337993484832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12337993484832 is an abundant number, since it is smaller than the sum of its proper divisors (20049420547680).

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

12337993484832 is a wasteful number, since it uses less digits than its factorization.

12337993484832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718801 (or 718793 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 66.

The spelling of 12337993484832 in words is "twelve trillion, three hundred thirty-seven billion, nine hundred ninety-three million, four hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 334031 384757 668062 769514 1002093 1154271 1336124 1539028 2004186 2308542 2672248 3078056 4008372 4617084 5344496 6156112 8016744 9234168 10688992 12312224 16033488 18468336 32066976 36936672 128520765467 257041530934 385562296401 514083061868 771124592802 1028166123736 1542249185604 2056332247472 3084498371208 4112664494944 6168996742416 12337993484832