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66590967816 = 23323187734019
BaseRepresentation
bin111110000001001000…
…011000100000001000
320100212211122122212100
4332001020120200020
52042334241432231
650331431313400
74545120613212
oct760110304010
9210784578770
1066590967816
11262719577aa
1210aa521b860
1363830ab649
143319d775b2
151aeb1c21e6
hexf81218808

66590967816 has 96 divisors (see below), whose sum is σ = 186386054400. Its totient is φ = 21455832960.

The previous prime is 66590967809. The next prime is 66590967889. The reversal of 66590967816 is 61876909566.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940455 + ... + 1974473.

It is an arithmetic number, because the mean of its divisors is an integer number (1941521400).

Almost surely, 266590967816 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 66590967816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93193027200).

66590967816 is an abundant number, since it is smaller than the sum of its proper divisors (119795086584).

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

66590967816 is a wasteful number, since it uses less digits than its factorization.

66590967816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34939 (or 34932 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 66590967816 in words is "sixty-six billion, five hundred ninety million, nine hundred sixty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 877 1116 1754 2232 2631 3508 5262 7016 7893 10524 15786 21048 27187 31572 34019 54374 63144 68038 81561 102057 108748 136076 163122 204114 217496 244683 272152 306171 326244 408228 489366 612342 652488 816456 978732 1054589 1224684 1957464 2109178 2449368 3163767 4218356 6327534 8436712 9491301 12655068 18982602 25310136 29834663 37965204 59669326 75930408 89503989 119338652 179007978 238677304 268511967 358015956 537023934 716031912 924874553 1074047868 1849749106 2148095736 2774623659 3699498212 5549247318 7398996424 8323870977 11098494636 16647741954 22196989272 33295483908 66590967816