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11150652656 = 241113291631031
BaseRepresentation
bin10100110001010000…
…10111010011110000
31001210002220211211102
422120220113103300
5140314031341111
65042245103532
7543215661263
oct123050272360
931702824742
1011150652656
114802286420
1221b23b7ba8
1310891c4630
1477acc8cda
15453dec13b
hex298a174f0

11150652656 has 160 divisors (see below), whose sum is σ = 26443307520. Its totient is φ = 4485196800.

The previous prime is 11150652647. The next prime is 11150652659. The reversal of 11150652656 is 65625605111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11150652659) 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, 10814861 + ... + 10815891.

It is an arithmetic number, because the mean of its divisors is an integer number (165270672).

Almost surely, 211150652656 is an apocalyptic number.

11150652656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11150652656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13221653760).

11150652656 is an abundant number, since it is smaller than the sum of its proper divisors (15292654864).

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

11150652656 is a wasteful number, since it uses less digits than its factorization.

11150652656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 38.

The spelling of 11150652656 in words is "eleven billion, one hundred fifty million, six hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 29 44 52 58 88 104 116 143 163 176 208 232 286 319 326 377 464 572 638 652 754 1031 1144 1276 1304 1508 1793 2062 2119 2288 2552 2608 3016 3586 4124 4147 4238 4727 5104 6032 7172 8248 8294 8476 9454 11341 13403 14344 16496 16588 16952 18908 22682 23309 26806 28688 29899 33176 33904 37816 45364 46618 51997 53612 59798 61451 66352 75632 90728 93236 103994 107224 119596 122902 147433 168053 181456 186472 207988 214448 239192 245804 294866 328889 336106 372944 388687 415976 478384 491608 589732 657778 672212 675961 777374 831952 983216 1179464 1315556 1344424 1351922 1554748 1848583 2184689 2358928 2631112 2688848 2703844 3109496 3697166 4275557 4369378 4873537 5262224 5407688 6218992 7394332 8551114 8738756 9747074 10815376 14788664 17102228 17477512 19494148 24031579 29577328 34204456 34955024 38988296 48063158 53608907 63355981 68408912 77976592 96126316 107217814 126711962 192252632 214435628 253423924 384505264 428871256 506847848 696915791 857742512 1013695696 1393831582 2787663164 5575326328 11150652656