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66396084 = 223172711201
BaseRepresentation
bin1111110101000…
…1111110110100
311121221021022020
43331101332310
5113444133314
610331033140
71434233406
oct375217664
9147837266
1066396084
113452a3a7
121a29b7b0
13109a9331
148b64b76
155c67da9
hex3f51fb4

66396084 has 48 divisors (see below), whose sum is σ = 164779776. Its totient is φ = 20736000.

The previous prime is 66396061. The next prime is 66396131. The reversal of 66396084 is 48069366.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54684 + ... + 55884.

It is an arithmetic number, because the mean of its divisors is an integer number (3432912).

Almost surely, 266396084 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 66396084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82389888).

66396084 is an abundant number, since it is smaller than the sum of its proper divisors (98383692).

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

66396084 is a wasteful number, since it uses less digits than its factorization.

66396084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 66396084 is about 8148.3792253429. The cubic root of 66396084 is about 404.9308097013.

The spelling of 66396084 in words is "sixty-six million, three hundred ninety-six thousand, eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 271 542 813 1084 1201 1626 2402 3252 3603 4607 4804 7206 9214 13821 14412 18428 20417 27642 40834 55284 61251 81668 122502 245004 325471 650942 976413 1301884 1952826 3905652 5533007 11066014 16599021 22132028 33198042 66396084