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257003332375 = 5329677104723
BaseRepresentation
bin1110111101011010010…
…1111010001100010111
3220120101000010000001211
43233112211322030113
513202320323114000
6314022105202251
724365532165256
oct3572645721427
9816330100054
10257003332375
1199aa3754549
1241985a90387
131b309c9084a
14c62099879d
156a42a907ba
hex3bd697a317

257003332375 has 32 divisors (see below), whose sum is σ = 332293440960. Its totient is φ = 198217801600.

The previous prime is 257003332361. The next prime is 257003332379. The reversal of 257003332375 is 573233300752.

It is a happy number.

It is not a de Polignac number, because 257003332375 - 27 = 257003332247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257003332379) 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 31 ways as a sum of consecutive naturals, for example, 2401764 + ... + 2506486.

It is an arithmetic number, because the mean of its divisors is an integer number (10384170030).

Almost surely, 2257003332375 is an apocalyptic number.

257003332375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257003332375 is a deficient number, since it is larger than the sum of its proper divisors (75290108585).

257003332375 is a wasteful number, since it uses less digits than its factorization.

257003332375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105444 (or 105434 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 40.

The spelling of 257003332375 in words is "two hundred fifty-seven billion, three million, three hundred thirty-two thousand, three hundred seventy-five".

Divisors: 1 5 25 29 125 145 677 725 3385 3625 16925 19633 84625 98165 104723 490825 523615 2454125 2618075 3036967 13090375 15184835 70897471 75924175 354487355 379620875 1772436775 2056026659 8862183875 10280133295 51400666475 257003332375