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8068260564 = 22327132462839
BaseRepresentation
bin1111000001110011…
…11110001011010100
3202211021212002210100
413200321332023110
5113010433314224
63412334454100
7403640040360
oct74071761324
922737762710
108068260564
113470360641
121692064330
139b7722ca0
145677962a0
153234d0ac9
hex1e0e7e2d4

8068260564 has 72 divisors (see below), whose sum is σ = 25101265280. Its totient is φ = 2127892032.

The previous prime is 8068260547. The next prime is 8068260637. The reversal of 8068260564 is 4650628608.

8068260564 is a `hidden beast` number, since 8 + 0 + 6 + 82 + 6 + 0 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1228144 + ... + 1234695.

Almost surely, 28068260564 is an apocalyptic number.

8068260564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8068260564 is an abundant number, since it is smaller than the sum of its proper divisors (17033004716).

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

8068260564 is a wasteful number, since it uses less digits than its factorization.

8068260564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462869 (or 2462864 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8068260564 is about 89823.4967255228. The cubic root of 8068260564 is about 2005.6722777572.

It can be divided in two parts, 80682 and 60564, that added together give a triangular number (141246 = T531).

The spelling of 8068260564 in words is "eight billion, sixty-eight million, two hundred sixty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 2462839 4925678 7388517 9851356 14777034 17239873 22165551 29554068 32016907 34479746 44331102 51719619 64033814 68959492 88662204 96050721 103439238 128067628 155158857 192101442 206878476 224118349 288152163 310317714 384202884 448236698 576304326 620635428 672355047 896473396 1152608652 1344710094 2017065141 2689420188 4034130282 8068260564