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204769498886304 = 25311296686569321
BaseRepresentation
bin101110100011110010011101…
…001111011111000010100000
3222212000202212110020101100120
4232203302131033133002200
5203314420413203330204
62003301450435120240
761063052034041142
oct5643623517370240
9885022773211316
10204769498886304
115a278290878530
121ab7184aa43080
138a348b0bb6bc1
14387cc7a4b8c92
1518a17d07296d9
hexba3c9d3df0a0

204769498886304 has 96 divisors (see below), whose sum is σ = 606605568891840. Its totient is φ = 59911661107200.

The previous prime is 204769498886263. The next prime is 204769498886317. The reversal of 204769498886304 is 403688894967402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 204769498886304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3343254037 + ... + 3343315284.

It is an arithmetic number, because the mean of its divisors is an integer number (6318808009290).

Almost surely, 2204769498886304 is an apocalyptic number.

204769498886304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204769498886304 is an abundant number, since it is smaller than the sum of its proper divisors (401836070005536).

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

204769498886304 is a wasteful number, since it uses less digits than its factorization.

204769498886304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686569374 (or 6686569366 counting only the distinct ones).

The product of its (nonzero) digits is 4013162496, while the sum is 78.

The spelling of 204769498886304 in words is "two hundred four trillion, seven hundred sixty-nine billion, four hundred ninety-eight million, eight hundred eighty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1914 2552 2784 3828 5104 7656 10208 15312 30624 6686569321 13373138642 20059707963 26746277284 40119415926 53492554568 73552262531 80238831852 106985109136 147104525062 160477663704 193910510309 213970218272 220656787593 294209050124 320955327408 387821020618 441313575186 581731530927 588418100248 641910654816 775642041236 882627150372 1163463061854 1176836200496 1551284082472 1765254300744 2133015613399 2326926123708 2353672400992 3102568164944 3530508601488 4266031226798 4653852247416 6205136329888 6399046840197 7061017202976 8532062453596 9307704494832 12798093680394 17064124907192 18615408989664 25596187360788 34128249814384 51192374721576 68256499628768 102384749443152 204769498886304