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66504596928 = 2637211347113
BaseRepresentation
bin111101111011111110…
…111001110111000000
320100122211010120021120
4331323332321313000
52042200134100203
650315104152240
74543021514100
oct757376716700
9210584116246
1066504596928
1126228125000
1210a80308680
13636b22a503
14330c6d3200
151ae3810b53
hexf7bfb9dc0

66504596928 has 672 divisors, whose sum is σ = 231966747648. Its totient is φ = 16756776960.

The previous prime is 66504596911. The next prime is 66504596929. The reversal of 66504596928 is 82969540566.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×665045969282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66504596929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 588536200 + ... + 588536312.

Almost surely, 266504596928 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 66504596928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115983373824).

66504596928 is an abundant number, since it is smaller than the sum of its proper divisors (165462150720).

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

66504596928 is a wasteful number, since it uses less digits than its factorization.

66504596928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 66504596928 in words is "sixty-six billion, five hundred four million, five hundred ninety-six thousand, nine hundred twenty-eight".