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66995520384 = 27313891011493
BaseRepresentation
bin111110011001001111…
…101000001110000000
320101221000220001122210
4332121033220032000
52044201323123014
650435522302120
74561132345602
oct763117501600
9211830801583
1066995520384
112645a252071
1210b987b7940
136418b55170
1433579a5172
151b21984859
hexf993e8380

66995520384 has 256 divisors, whose sum is σ = 195849057600. Its totient is φ = 20167065600.

The previous prime is 66995520349. The next prime is 66995520391. The reversal of 66995520384 is 48302559966.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 44872342 + ... + 44873834.

Almost surely, 266995520384 is an apocalyptic number.

66995520384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66995520384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97924528800).

66995520384 is an abundant number, since it is smaller than the sum of its proper divisors (128853537216).

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

66995520384 is a wasteful number, since it uses less digits than its factorization.

66995520384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 66995520384 in words is "sixty-six billion, nine hundred ninety-five million, five hundred twenty thousand, three hundred eighty-four".