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13937491457 is a prime number
BaseRepresentation
bin11001111101011110…
…10011111000000001
31022222022211220222022
430332233103320001
5212020444211312
610223000451225
71002245502611
oct147657237001
938868756868
1013937491457
115a0239468a
12284b779b15
131411694186
14963084a41
155688d7172
hex33ebd3e01

13937491457 has 2 divisors, whose sum is σ = 13937491458. Its totient is φ = 13937491456.

The previous prime is 13937491433. The next prime is 13937491489. The reversal of 13937491457 is 75419473931.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13720842496 + 216648961 = 117136^2 + 14719^2 .

It is a cyclic number.

It is not a de Polignac number, because 13937491457 - 214 = 13937475073 is a prime.

It is a super-2 number, since 2×139374914572 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13937491399 and 13937491408.

It is not a weakly prime, because it can be changed into another prime (13937491417) 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 as a sum of consecutive naturals, namely, 6968745728 + 6968745729.

It is an arithmetic number, because the mean of its divisors is an integer number (6968745729).

Almost surely, 213937491457 is an apocalyptic number.

It is an amenable number.

13937491457 is a deficient number, since it is larger than the sum of its proper divisors (1).

13937491457 is an equidigital number, since it uses as much as digits as its factorization.

13937491457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2857680, while the sum is 53.

The spelling of 13937491457 in words is "thirteen billion, nine hundred thirty-seven million, four hundred ninety-one thousand, four hundred fifty-seven".