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257193949237 = 23151592312503
BaseRepresentation
bin1110111110000111110…
…1000011100000110101
3220120212021210100020121
43233201331003200311
513203213122333422
6314053034531541
724403335332461
oct3574175034065
9816767710217
10257193949237
119a091308845
1241a19896bb1
131b33a610ca4
14c63c0174a1
156a546948c7
hex3be1f43835

257193949237 has 16 divisors (see below), whose sum is σ = 270220843008. Its totient is φ = 244321585200.

The previous prime is 257193949223. The next prime is 257193949247. The reversal of 257193949237 is 732949391752.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257193949237 is a prime.

It is a super-2 number, since 2×2571939492372 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257193949247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20564328 + ... + 20576830.

It is an arithmetic number, because the mean of its divisors is an integer number (16888802688).

Almost surely, 2257193949237 is an apocalyptic number.

It is an amenable number.

257193949237 is a deficient number, since it is larger than the sum of its proper divisors (13026893771).

257193949237 is a wasteful number, since it uses less digits than its factorization.

257193949237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18600.

The product of its digits is 25719120, while the sum is 61.

The spelling of 257193949237 in words is "two hundred fifty-seven billion, one hundred ninety-three million, nine hundred forty-nine thousand, two hundred thirty-seven".

Divisors: 1 23 151 3473 5923 12503 136229 287569 894373 1887953 20570579 43422919 74055269 1703271187 11182345619 257193949237