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258051113036096 = 2629139036160041
BaseRepresentation
bin111010101011001000110100…
…111011010010100101000000
31020211200110000202100222200112
4322223020310323102211000
5232310402134414123341
62312455013400410452
7105232402066510142
oct7253106473224500
91224613022328615
10258051113036096
117524a953a26166
1224b3804b776a28
13b0cb166b0c163
1447a1a51d70c92
151ec777d0b7aeb
hexeab234ed2940

258051113036096 has 28 divisors (see below), whose sum is σ = 529727769760020. Its totient is φ = 124576399395840.

The previous prime is 258051113036083. The next prime is 258051113036099. The reversal of 258051113036096 is 690630311150852.

It can be written as a sum of positive squares in 2 ways, for example, as 205839852294400 + 52211260741696 = 14347120^2 + 7225736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258051113036099) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69518078165 + ... + 69518081876.

Almost surely, 2258051113036096 is an apocalyptic number.

It is an amenable number.

258051113036096 is an abundant number, since it is smaller than the sum of its proper divisors (271676656723924).

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

258051113036096 is a wasteful number, since it uses less digits than its factorization.

258051113036096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139036160082 (or 139036160072 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 50.

The spelling of 258051113036096 in words is "two hundred fifty-eight trillion, fifty-one billion, one hundred thirteen million, thirty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 139036160041 278072320082 556144640164 1112289280328 2224578560656 4032048641189 4449157121312 8064097282378 8898314242624 16128194564756 32256389129512 64512778259024 129025556518048 258051113036096