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204144926976 = 283294132
BaseRepresentation
bin1011111000011111111…
…1000110000100000000
3201111221012200210101100
42332013333012010000
511321042100130401
6233441034134400
720514621151134
oct2760777060400
9644835623340
10204144926976
1179639542191
1233693881400
1316334c846a3
149c4879d3c4
15549c2c5b86
hex2f87fc6100

204144926976 has 81 divisors (see below), whose sum is σ = 588662689069. Its totient is φ = 68041079808.

The previous prime is 204144926959. The next prime is 204144926981. The reversal of 204144926976 is 679629441402.

The square root of 204144926976 is 451824.

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

204144926976 is a `hidden beast` number, since 20 + 4 + 1 + 4 + 492 + 69 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203798073600 + 346853376 = 451440^2 + 18624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21682846 + ... + 21692258.

Almost surely, 2204144926976 is an apocalyptic number.

204144926976 is the 451824-th square number.

It is an amenable number.

204144926976 is an abundant number, since it is smaller than the sum of its proper divisors (384517762093).

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

204144926976 is an frugal number, since it uses more digits than its factorization.

204144926976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18848 (or 9418 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 204144926976 in words is "two hundred four billion, one hundred forty-four million, nine hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 9413 18826 28239 37652 56478 75304 84717 112956 150608 169434 225912 301216 338868 451824 602432 677736 903648 1204864 1355472 1807296 2409728 2710944 3614592 5421888 7229184 10843776 21687552 88604569 177209138 265813707 354418276 531627414 708836552 797441121 1063254828 1417673104 1594882242 2126509656 2835346208 3189764484 4253019312 5670692416 6379528968 8506038624 11341384832 12759057936 17012077248 22682769664 25518115872 34024154496 51036231744 68048308992 102072463488 204144926976