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66292545816 = 23327433058903
BaseRepresentation
bin111101101111010101…
…111111100100011000
320100010001010020211200
4331233111333210120
52041231342431231
650242051154200
74534535225220
oct755725774430
9210101106750
1066292545816
1126129460952
1210a212a5960
136336313b93
1432cc495080
151acedc5be6
hexf6f57f918

66292545816 has 96 divisors (see below), whose sum is σ = 209963170560. Its totient is φ = 18500239296.

The previous prime is 66292545733. The next prime is 66292545817. The reversal of 66292545816 is 61854529266.

66292545816 is a `hidden beast` number, since 6 + 6 + 2 + 9 + 2 + 54 + 581 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66292545817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1507780 + ... + 1551123.

It is an arithmetic number, because the mean of its divisors is an integer number (2187116360).

Almost surely, 266292545816 is an apocalyptic number.

It is an amenable number.

66292545816 is an abundant number, since it is smaller than the sum of its proper divisors (143670624744).

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

66292545816 is a wasteful number, since it uses less digits than its factorization.

66292545816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058965 (or 3058958 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 66292545816 in words is "sixty-six billion, two hundred ninety-two million, five hundred forty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 1032 1204 1548 1806 2408 2709 3096 3612 5418 7224 10836 21672 3058903 6117806 9176709 12235612 18353418 21412321 24471224 27530127 36706836 42824642 55060254 64236963 73413672 85649284 110120508 128473926 131532829 171298568 192710889 220241016 256947852 263065658 385421778 394598487 513895704 526131316 770843556 789196974 920729803 1052262632 1183795461 1541687112 1578393948 1841459606 2367590922 2762189409 3156787896 3682919212 4735181844 5524378818 7365838424 8286568227 9470363688 11048757636 16573136454 22097515272 33146272908 66292545816