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253379973352 = 231127311054309
BaseRepresentation
bin1110101111111010011…
…1111001000011101000
3220020000111010021220111
43223332213321003220
513122410233121402
6312222352104104
724206664144322
oct3537647710350
9806014107814
10253379973352
1198504431260
1241134535034
131ab803c241c
14c399688612
1568ce9179d7
hex3afe9f90e8

253379973352 has 32 divisors (see below), whose sum is σ = 518467485600. Its totient is φ = 115130433600.

The previous prime is 253379973331. The next prime is 253379973359.

253379973352 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (253379973359) 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 7 ways as a sum of consecutive naturals, for example, 286827 + ... + 767482.

It is an arithmetic number, because the mean of its divisors is an integer number (16202108925).

Almost surely, 2253379973352 is an apocalyptic number.

253379973352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253379973352 is an abundant number, since it is smaller than the sum of its proper divisors (265087512248).

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

253379973352 is a wasteful number, since it uses less digits than its factorization.

253379973352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057057 (or 1057053 counting only the distinct ones).

The product of its digits is 32148900, while the sum is 58.

The spelling of 253379973352 in words is "two hundred fifty-three billion, three hundred seventy-nine million, nine hundred seventy-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 2731 5462 10924 21848 30041 60082 120164 240328 1054309 2108618 4217236 8434472 11597399 23194798 46389596 92779192 2879317879 5758635758 11517271516 23034543032 31672496669 63344993338 126689986676 253379973352