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63364027716 = 2232111720814523
BaseRepresentation
bin111011000000110010…
…100101010101000100
320001112221121010020100
4323000302211111010
52014232142341331
645035315004100
74402135230453
oct730062452504
9201487533210
1063364027716
1124966383960
1210344599630
135c8a699832
1430d1578b9a
1519acc51ae6
hexec0ca5544

63364027716 has 144 divisors (see below), whose sum is σ = 185139235008. Its totient is φ = 18059059200.

The previous prime is 63364027691. The next prime is 63364027747. The reversal of 63364027716 is 61772046336.

63364027716 is a `hidden beast` number, since 6 + 3 + 364 + 0 + 277 + 16 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14007031 + ... + 14011553.

It is an arithmetic number, because the mean of its divisors is an integer number (1285689132).

Almost surely, 263364027716 is an apocalyptic number.

63364027716 is a gapful number since it is divisible by the number (66) 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 63364027716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92569617504).

63364027716 is an abundant number, since it is smaller than the sum of its proper divisors (121775207292).

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

63364027716 is a wasteful number, since it uses less digits than its factorization.

63364027716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 63364027716 in words is "sixty-three billion, three hundred sixty-four million, twenty-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2081 2244 3366 4162 4523 6243 6732 8324 9046 12486 13569 18092 18729 22891 24972 27138 35377 37458 40707 45782 49753 54276 68673 70754 74916 76891 81414 91564 99506 106131 137346 141508 149259 153782 162828 199012 206019 212262 230673 274692 298518 307564 318393 389147 412038 424524 447777 461346 597036 636786 692019 778294 824076 845801 895554 922692 1167441 1273572 1384038 1556588 1691602 1791108 2334882 2537403 2768076 3383204 3502323 4669764 5074806 7004646 7612209 9412363 10149612 14009292 15224418 18824726 28237089 30448836 37649452 56474178 84711267 103535993 112948356 160010171 169422534 207071986 310607979 320020342 338845068 414143972 480030513 621215958 640040684 931823937 960061026 1242431916 1440091539 1760111881 1863647874 1920122052 2880183078 3520223762 3727295748 5280335643 5760366156 7040447524 10560671286 15841006929 21121342572 31682013858 63364027716