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204196468476 = 2237111316999373
BaseRepresentation
bin1011111000101100001…
…1101101011011111100
3201112001210200101000210
42332023003231123330
511321143243442401
6233450114552420
720516115225660
oct2761303553374
9645053611023
10204196468476
1179665646070
12336a8b98710
131634285c610
149c515788a0
1554a1aa74d6
hex2f8b0ed6fc

204196468476 has 96 divisors (see below), whose sum is σ = 639720442368. Its totient is φ = 48958191360.

The previous prime is 204196468459. The next prime is 204196468537. The reversal of 204196468476 is 674864691402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8487675 + ... + 8511698.

It is an arithmetic number, because the mean of its divisors is an integer number (6663754608).

Almost surely, 2204196468476 is an apocalyptic number.

204196468476 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

204196468476 is an abundant number, since it is smaller than the sum of its proper divisors (435523973892).

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

204196468476 is a wasteful number, since it uses less digits than its factorization.

204196468476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16999411 (or 16999409 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 204196468476 in words is "two hundred four billion, one hundred ninety-six million, four hundred sixty-eight thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 16999373 33998746 50998119 67997492 101996238 118995611 186993103 203992476 220991849 237991222 356986833 373986206 441983698 475982444 560979309 662975547 713973666 747972412 883967396 1121958618 1308951721 1325951094 1427947332 1546942943 2243917236 2430910339 2617903442 2651902188 3093885886 3926855163 4640828829 4861820678 5235806884 6187771772 7292731017 7853710326 9281657658 9723641356 14585462034 15707420652 17016372373 18563315316 29170924068 34032744746 51049117119 68065489492 102098234238 204196468476