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66398251842 = 232132292934229
BaseRepresentation
bin111101110101101001…
…001110101101000010
320100101102000200020200
4331311221032231002
52041440423024332
650300344550030
74540260554106
oct756551165502
9210342020220
1066398251842
112618309a3aa
1210a50782316
1363521a4920
1432dc52d906
151ad930617c
hexf75a4eb42

66398251842 has 96 divisors (see below), whose sum is σ = 156173799600. Its totient is φ = 20266799616.

The previous prime is 66398251831. The next prime is 66398251853. The reversal of 66398251842 is 24815289366.

66398251842 is a `hidden beast` number, since 6 + 6 + 3 + 9 + 82 + 518 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (66398251831) and next prime (66398251853).

It can be written as a sum of positive squares in 8 ways, for example, as 65941617681 + 456634161 = 256791^2 + 21369^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15698584 + ... + 15702812.

Almost surely, 266398251842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66398251842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78086899800).

66398251842 is an abundant number, since it is smaller than the sum of its proper divisors (89775547758).

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

66398251842 is a wasteful number, since it uses less digits than its factorization.

66398251842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772 (or 4769 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 66398251842 in words is "sixty-six billion, three hundred ninety-eight million, two hundred fifty-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 229 234 293 458 586 687 879 1374 1758 2061 2637 2977 3809 4122 4229 5274 5954 7618 8458 8931 11427 12687 17862 22854 25374 26793 34281 38061 53586 54977 67097 68562 76122 109954 134194 164931 201291 329862 402582 494793 603873 872261 968441 989586 1207746 1239097 1744522 1936882 2478194 2616783 2905323 3717291 5233566 5810646 7434582 7850349 8715969 11151873 12589733 15700698 16108261 17431938 22303746 25179466 32216522 37769199 48324783 75538398 96649566 113307597 144974349 226615194 283753213 289948698 567506426 851259639 1702519278 2553778917 3688791769 5107557834 7377583538 11066375307 22132750614 33199125921 66398251842