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104836726225 = 5272112294
BaseRepresentation
bin110000110100011000…
…0010111110111010001
3101000121020210111022001
41201220300113313101
53204201200214400
6120054502514001
710400644320100
oct1415060276721
9330536714261
10104836726225
1140508665100
1218399735901
139b698a271a
145107580037
152ad8b8da6a
hex1868c17dd1

104836726225 has 135 divisors (see below), whose sum is σ = 172155192951. Its totient is φ = 63099220800.

The previous prime is 104836726217. The next prime is 104836726237. The reversal of 104836726225 is 522627638401.

The square root of 104836726225 is 323785.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 62125064001 + 42711662224 = 249249^2 + 206668^2 .

It is not a de Polignac number, because 104836726225 - 23 = 104836726217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3615059511 + ... + 3615059539.

Almost surely, 2104836726225 is an apocalyptic number.

104836726225 is the 323785-th square number.

104836726225 is the 161893-rd centered octagonal number.

It is an amenable number.

104836726225 is a deficient number, since it is larger than the sum of its proper divisors (67318466726).

104836726225 is an frugal number, since it uses more digits than its factorization.

104836726225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 104836726225 in words is "one hundred four billion, eight hundred thirty-six million, seven hundred twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 29 35 49 55 77 121 145 175 203 245 275 319 385 539 605 725 841 847 1015 1225 1421 1595 1925 2233 2695 3025 3509 4205 4235 5075 5887 5929 7105 7975 9251 11165 13475 15631 17545 21025 21175 24389 24563 29435 29645 35525 41209 46255 55825 64757 78155 87725 101761 121945 122815 147175 148225 170723 171941 206045 231275 268279 323785 390775 453299 508805 609725 614075 707281 712327 853615 859705 1030225 1195061 1341395 1618925 1877953 2266495 2544025 2951069 3536405 3561635 4268075 4298525 4950967 4986289 5975305 6706975 7780091 9389765 11332475 13145671 14755345 17682025 17808175 20657483 24754835 24931445 29876525 34656769 38900455 46948825 54460637 65728355 73776725 85581001 103287415 123774175 124657225 144602381 173283845 194502275 272303185 328641775 381224459 427905005 516437075 599067007 723011905 866419225 1361515925 1906122295 2139525025 2995335035 3615059525 4193469049 9530611475 14976675175 20967345245 104836726225