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18646448704 = 261341012
BaseRepresentation
bin10001010111011010…
…100011101001000000
31210010111120201221021
4101113122203221000
5301141442324304
612322134035224
71230035125132
oct212732435100
953114521837
1018646448704
1179a9485994
1237447a8b14
1319b2140000
14c8c625052
15741eeda54
hex4576a3a40

18646448704 has 105 divisors (see below), whose sum is σ = 40485710621. Its totient is φ = 8520844800.

The previous prime is 18646448687. The next prime is 18646448761. The reversal of 18646448704 is 40784464681.

The square root of 18646448704 is 136552.

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 12870448704 + 5776000000 = 113448^2 + 76000^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 184618254 + ... + 184618354.

Almost surely, 218646448704 is an apocalyptic number.

18646448704 is the 136552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18646448704

18646448704 is an abundant number, since it is smaller than the sum of its proper divisors (21839261917).

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

18646448704 is an frugal number, since it uses more digits than its factorization.

18646448704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 52.

The spelling of 18646448704 in words is "eighteen billion, six hundred forty-six million, four hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 169 202 208 338 404 416 676 808 832 1313 1352 1616 2197 2626 2704 3232 4394 5252 5408 6464 8788 10201 10504 10816 17069 17576 20402 21008 28561 34138 35152 40804 42016 57122 68276 70304 81608 84032 114244 132613 136552 140608 163216 221897 228488 265226 273104 326432 443794 456976 530452 546208 652864 887588 913952 1060904 1092416 1723969 1775176 1827904 2121808 2884661 3447938 3550352 4243616 5769322 6895876 7100704 8487232 11538644 13791752 14201408 22411597 23077288 27583504 44823194 46154576 55167008 89646388 92309152 110334016 179292776 184618304 291350761 358585552 582701522 717171104 1165403044 1434342208 2330806088 4661612176 9323224352 18646448704