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12731866740513 = 333632771298047
BaseRepresentation
bin1011100101000101111001…
…1001001111011100100001
31200002011011200110122111000
42321101132121033130201
53132044330341144023
643024534442142213
72452563345452034
oct271213631173441
950064150418430
1012731866740513
114069610946288
1215176304b1969
137147c0bab9ab
1432032321901b
151712b9940243
hexb945e64f721

12731866740513 has 16 divisors (see below), whose sum is σ = 18862091253760. Its totient is φ = 8487881256528.

The previous prime is 12731866740479. The next prime is 12731866740517. The reversal of 12731866740513 is 31504766813721.

12731866740513 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 1 + 86 + 6 + 7 + 40 + 513 = 666.

It is not a de Polignac number, because 12731866740513 - 29 = 12731866740001 is a prime.

It is a super-2 number, since 2×127318667405132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12731866740513.

It is not an unprimeable number, because it can be changed into a prime (12731866740517) 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 15 ways as a sum of consecutive naturals, for example, 9159456 + ... + 10457502.

It is an arithmetic number, because the mean of its divisors is an integer number (1178880703360).

Almost surely, 212731866740513 is an apocalyptic number.

It is an amenable number.

12731866740513 is a deficient number, since it is larger than the sum of its proper divisors (6130224513247).

12731866740513 is a wasteful number, since it uses less digits than its factorization.

12731866740513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661333 (or 1661327 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 12731866740513 in words is "twelve trillion, seven hundred thirty-one billion, eight hundred sixty-six million, seven hundred forty thousand, five hundred thirteen".

Divisors: 1 3 9 27 363277 1089831 1298047 3269493 3894141 9808479 11682423 35047269 471550620019 1414651860057 4243955580171 12731866740513