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56663696208 = 24373119927337
BaseRepresentation
bin110100110001011010…
…110110001101010000
312102020222202000100010
4310301122312031100
51412021401234313
642010403354520
74044115320330
oct646132661520
9172228660303
1056663696208
11220381a76a9
12ab94682a40
1354604a6832
142a577470c0
1517198cd4c3
hexd316b6350

56663696208 has 160 divisors (see below), whose sum is σ = 173563494400. Its totient is φ = 15588080640.

The previous prime is 56663696191. The next prime is 56663696209. The reversal of 56663696208 is 80269636665.

It is a super-3 number, since 3×566636962083 (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56663696209) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2059116 + ... + 2086452.

It is an arithmetic number, because the mean of its divisors is an integer number (1084771840).

Almost surely, 256663696208 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 56663696208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86781747200).

56663696208 is an abundant number, since it is smaller than the sum of its proper divisors (116899798192).

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

56663696208 is a wasteful number, since it uses less digits than its factorization.

56663696208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27585 (or 27579 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 56663696208 in words is "fifty-six billion, six hundred sixty-three million, six hundred ninety-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 199 217 248 336 372 398 434 496 597 651 744 796 868 1194 1302 1393 1488 1592 1736 2388 2604 2786 3184 3472 4179 4776 5208 5572 6169 8358 9552 10416 11144 12338 16716 18507 22288 24676 27337 33432 37014 43183 49352 54674 66864 74028 82011 86366 98704 109348 129549 148056 164022 172732 191359 218696 259098 296112 328044 345464 382718 437392 518196 574077 656088 690928 765436 847447 1036392 1148154 1312176 1530872 1694894 2072784 2296308 2542341 3061744 3389788 4592616 5084682 5440063 5932129 6779576 9185232 10169364 10880126 11864258 13559152 16320189 17796387 20338728 21760252 23728516 32640378 35592774 38080441 40677456 43520504 47457032 65280756 71185548 76160882 87041008 94914064 114241323 130561512 142371096 152321764 168641953 228482646 261123024 284742192 304643528 337283906 456965292 505925859 609287056 674567812 913930584 1011851718 1180493671 1349135624 1827861168 2023703436 2360987342 2698271248 3541481013 4047406872 4721974684 7082962026 8094813744 9443949368 14165924052 18887898736 28331848104 56663696208