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257932361142 = 23242209339491
BaseRepresentation
bin1111000000110111110…
…1110111110110110110
3220122202202020112221200
43300031331313312312
513211221141024032
6314254213353330
724430542616041
oct3601575676666
9818682215850
10257932361142
119a430103615
1241ba5038846
131b4275ac101
14c6ac10dc58
156a9940347c
hex3c0df77db6

257932361142 has 24 divisors (see below), whose sum is σ = 558868335480. Its totient is φ = 85975163520.

The previous prime is 257932361131. The next prime is 257932361153. The reversal of 257932361142 is 241163239752.

It is a happy number.

257932361142 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 3 + 23 + 611 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (257932361131) and next prime (257932361153).

It is a super-2 number, since 2×2579323611422 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 590017 + ... + 929507.

It is an arithmetic number, because the mean of its divisors is an integer number (23286180645).

Almost surely, 2257932361142 is an apocalyptic number.

257932361142 is an abundant number, since it is smaller than the sum of its proper divisors (300935974338).

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

257932361142 is a wasteful number, since it uses less digits than its factorization.

257932361142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381708 (or 381705 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 257932361142 in words is "two hundred fifty-seven billion, nine hundred thirty-two million, three hundred sixty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 42209 84418 126627 253254 339491 379881 678982 759762 1018473 2036946 3055419 6110838 14329575619 28659151238 42988726857 85977453714 128966180571 257932361142