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10456541225 = 5213219130259
BaseRepresentation
bin10011011110100001…
…00010100000101001
3222222201211022221122
421233100202200221
5132403333304400
64445331545025
7520060063634
oct115720424051
928881738848
1010456541225
114486499209
122039a5b175
13ca8467600
14712a44c1b
15412ede685
hex26f422829

10456541225 has 36 divisors (see below), whose sum is σ = 14779299600. Its totient is φ = 7315289280.

The previous prime is 10456541213. The next prime is 10456541257. The reversal of 10456541225 is 52214565401.

It is not a de Polignac number, because 10456541225 - 212 = 10456537129 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15146 + ... + 145404.

It is an arithmetic number, because the mean of its divisors is an integer number (410536100).

Almost surely, 210456541225 is an apocalyptic number.

It is an amenable number.

10456541225 is a deficient number, since it is larger than the sum of its proper divisors (4322758375).

10456541225 is a wasteful number, since it uses less digits than its factorization.

10456541225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130314 (or 130296 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 10456541225 in words is "ten billion, four hundred fifty-six million, five hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 13 19 25 65 95 169 247 325 475 845 1235 3211 4225 6175 16055 80275 130259 651295 1693367 2474921 3256475 8466835 12374605 22013771 32173973 42334175 61873025 110068855 160869865 418261649 550344275 804349325 2091308245 10456541225