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258303974401 = 11312535729873
BaseRepresentation
bin1111000010010000011…
…1011101110000000001
3220200201122111110111201
43300210013131300001
513213001304140101
6314355130341201
724443004361444
oct3604407356001
9820648443451
10258303974401
119a600950110
124208958a801
131b486591b05
14c70560565b
156abbd5ae01
hex3c241ddc01

258303974401 has 16 divisors (see below), whose sum is σ = 290897238528. Its totient is φ = 227230329600.

The previous prime is 258303974381. The next prime is 258303974413. The reversal of 258303974401 is 104479303852.

It is a cyclic number.

It is not a de Polignac number, because 258303974401 - 225 = 258270419969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258303974441) 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, 8631801 + ... + 8661673.

It is an arithmetic number, because the mean of its divisors is an integer number (18181077408).

Almost surely, 2258303974401 is an apocalyptic number.

It is an amenable number.

258303974401 is a deficient number, since it is larger than the sum of its proper divisors (32593264127).

258303974401 is a wasteful number, since it uses less digits than its factorization.

258303974401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55272.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 258303974401 in words is "two hundred fifty-eight billion, three hundred three million, nine hundred seventy-four thousand, four hundred one".

Divisors: 1 11 31 341 25357 29873 278927 328603 786067 926063 8646737 10186693 757489661 8332386271 23482179491 258303974401