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11686992856 = 23711171736451
BaseRepresentation
bin10101110001001100…
…10101101111011000
31010011111010202021021
422320212111233120
5142413332232411
65211404452224
7562420541320
oct127046255730
933144122237
1011686992856
114a58003790
122321b4a074
1311433614b6
147cc220280
15486042a71
hex2b8995bd8

11686992856 has 128 divisors (see below), whose sum is σ = 29099036160. Its totient is φ = 4260096000.

The previous prime is 11686992851. The next prime is 11686992859. The reversal of 11686992856 is 65829968611.

It is a junction number, because it is equal to n+sod(n) for n = 11686992794 and 11686992803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11686992851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1808431 + ... + 1814881.

It is an arithmetic number, because the mean of its divisors is an integer number (227336220).

Almost surely, 211686992856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11686992856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549518080).

11686992856 is an abundant number, since it is smaller than the sum of its proper divisors (17412043304).

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

11686992856 is a wasteful number, since it uses less digits than its factorization.

11686992856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6665 (or 6661 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 61.

The spelling of 11686992856 in words is "eleven billion, six hundred eighty-six million, nine hundred ninety-two thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 173 187 238 308 346 374 476 616 692 748 952 1211 1309 1384 1496 1903 2422 2618 2941 3806 4844 5236 5882 6451 7612 9688 10472 11764 12902 13321 15224 20587 23528 25804 26642 32351 41174 45157 51608 53284 64702 70961 82348 90314 106568 109667 129404 141922 164696 180628 219334 226457 258808 283844 361256 438668 452914 496727 567688 767669 877336 905828 993454 1116023 1206337 1535338 1811656 1986908 2232046 2412674 3070676 3973816 4464092 4825348 6141352 7812161 8444359 8928184 9650696 12276253 15624322 16888718 18972391 24552506 31248644 33777436 37944782 49105012 62497288 67554872 75889564 85933771 98210024 132806737 151779128 171867542 208696301 265613474 343735084 417392602 531226948 687470168 834785204 1062453896 1460874107 1669570408 2921748214 5843496428 11686992856