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56631866688 = 263479138283
BaseRepresentation
bin110100101111100001…
…011011010101000000
312102011202211220110000
4310233201123111000
51411440224213223
642003305240000
74043250632025
oct645741332500
9172152756400
1056631866688
1122021237711
12ab85a93000
135456a10bb7
142a5341d54c
151716be2543
hexd2f85b540

56631866688 has 140 divisors (see below), whose sum is σ = 170000818240. Its totient is φ = 18638201088.

The previous prime is 56631866653. The next prime is 56631866689. The reversal of 56631866688 is 88666813665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56631866689) 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 19 ways as a sum of consecutive naturals, for example, 340395 + ... + 478677.

Almost surely, 256631866688 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 56631866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85000409120).

56631866688 is an abundant number, since it is smaller than the sum of its proper divisors (113368951552).

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

56631866688 is a wasteful number, since it uses less digits than its factorization.

56631866688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138386 (or 138367 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 56631866688 in words is "fifty-six billion, six hundred thirty-one million, eight hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 144 158 162 192 216 237 288 316 324 432 474 576 632 648 711 864 948 1264 1296 1422 1728 1896 2133 2528 2592 2844 3792 4266 5056 5184 5688 6399 7584 8532 11376 12798 15168 17064 22752 25596 34128 45504 51192 68256 102384 136512 138283 204768 276566 409536 414849 553132 829698 1106264 1244547 1659396 2212528 2489094 3318792 3733641 4425056 4978188 6637584 7467282 8850112 9956376 10924357 11200923 13275168 14934564 19912752 21848714 22401846 26550336 29869128 32773071 39825504 43697428 44803692 59738256 65546142 79651008 87394856 89607384 98319213 119476512 131092284 174789712 179214768 196638426 238953024 262184568 294957639 349579424 358429536 393276852 524369136 589915278 699158848 716859072 786553704 884872917 1048738272 1179830556 1573107408 1769745834 2097476544 2359661112 3146214816 3539491668 4719322224 6292429632 7078983336 9438644448 14157966672 18877288896 28315933344 56631866688