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63768141216 = 2533135677363
BaseRepresentation
bin111011011000111000…
…001001110110100000
320002121010000012202000
4323120320021312200
52021044121004331
645143352324000
74415143154103
oct733070116640
9202533005660
1063768141216
11250534a935a
12104379a3600
13602331b550
14312d0d073a
1519d34790e6
hexed8e09da0

63768141216 has 96 divisors (see below), whose sum is σ = 200297401920. Its totient is φ = 19620963072.

The previous prime is 63768141179. The next prime is 63768141223. The reversal of 63768141216 is 61214186736.

63768141216 is a `hidden beast` number, since 637 + 6 + 8 + 1 + 4 + 1 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2827450 + ... + 2849913.

It is an arithmetic number, because the mean of its divisors is an integer number (2086431270).

Almost surely, 263768141216 is an apocalyptic number.

It is an amenable number.

63768141216 is an abundant number, since it is smaller than the sum of its proper divisors (136529260704).

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

63768141216 is a wasteful number, since it uses less digits than its factorization.

63768141216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677395 (or 5677381 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 63768141216 in words is "sixty-three billion, seven hundred sixty-eight million, one hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 5677363 11354726 17032089 22709452 34064178 45418904 51096267 68128356 73805719 90837808 102192534 136256712 147611438 153288801 181675616 204385068 221417157 272513424 295222876 306577602 408770136 442834314 545026848 590445752 613155204 664251471 817540272 885668628 1180891504 1226310408 1328502942 1635080544 1771337256 1992754413 2361783008 2452620816 2657005884 3542674512 3985508826 4905241632 5314011768 7085349024 7971017652 10628023536 15942035304 21256047072 31884070608 63768141216