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13083780802637 = 172533929217409
BaseRepresentation
bin1011111001100100111000…
…0110110110100001001101
31201022210112011212021110202
42332121032012312201031
53203331040341141022
643454334513543245
72520162166565246
oct276311606664115
951283464767422
1013083780802637
114194889195856
121573883874b25
1373ba4519564c
14333388d75ccd
1517a514a2d592
hexbe64e1b684d

13083780802637 has 24 divisors (see below), whose sum is σ = 14164596311400. Its totient is φ = 12078673657856.

The previous prime is 13083780802633. The next prime is 13083780802669. The reversal of 13083780802637 is 73620808738031.

It can be written as a sum of positive squares in 12 ways, for example, as 505650410281 + 12578130392356 = 711091^2 + 3546566^2 .

It is not a de Polignac number, because 13083780802637 - 22 = 13083780802633 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13083780802633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60071789 + ... + 60289197.

It is an arithmetic number, because the mean of its divisors is an integer number (590191512975).

Almost surely, 213083780802637 is an apocalyptic number.

13083780802637 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13083780802637 is a deficient number, since it is larger than the sum of its proper divisors (1080815508763).

13083780802637 is a wasteful number, since it uses less digits than its factorization.

13083780802637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221425 (or 221408 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 13083780802637 in words is "thirteen trillion, eighty-three billion, seven hundred eighty million, eight hundred two thousand, six hundred thirty-seven".

Divisors: 1 17 53 289 901 3929 15317 66793 208237 217409 1135481 3540029 3695953 11522677 60180493 62831201 195885509 854199961 3330053653 14521399337 45272597933 246863788729 769634164861 13083780802637