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10989974304 = 253242179049
BaseRepresentation
bin10100011110000110…
…11011001100100000
31001100220120112120100
422033003123030200
5140001413134204
65014305142400
7536225145261
oct121703331440
931326515510
1010989974304
11472a6103a1
12216862aa00
131061b2719a
14763820968
15444c5da39
hex28f0db320

10989974304 has 72 divisors (see below), whose sum is σ = 31263605100. Its totient is φ = 3662051328.

The previous prime is 10989974297. The next prime is 10989974323. The reversal of 10989974304 is 40347998901.

It can be written as a sum of positive squares in 2 ways, for example, as 9296816400 + 1693157904 = 96420^2 + 41148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1209972 + ... + 1219020.

Almost surely, 210989974304 is an apocalyptic number.

It is an amenable number.

10989974304 is an abundant number, since it is smaller than the sum of its proper divisors (20273630796).

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

10989974304 is a wasteful number, since it uses less digits than its factorization.

10989974304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13282 (or 13271 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10989974304 in words is "ten billion, nine hundred eighty-nine million, nine hundred seventy-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4217 8434 9049 12651 16868 18098 25302 27147 33736 36196 37953 50604 54294 67472 72392 75906 81441 101208 108588 134944 144784 151812 162882 202416 217176 289568 303624 325764 404832 434352 607248 651528 868704 1214496 1303056 2606112 38159633 76319266 114478899 152638532 228957798 305277064 343436697 457915596 610554128 686873394 915831192 1221108256 1373746788 1831662384 2747493576 3663324768 5494987152 10989974304