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64646864064 = 26321091636317
BaseRepresentation
bin111100001101010000…
…001101110011000000
320011212100110221212200
4330031100031303000
52024344044122224
645410502353200
74446003164226
oct741520156300
9204770427780
1064646864064
1125464518892
121064212b800
1361333a53b3
1431b3aacb16
151a356a15c9
hexf0d40dcc0

64646864064 has 168 divisors, whose sum is σ = 188175564720. Its totient is φ = 21216909312.

The previous prime is 64646864057. The next prime is 64646864081. The reversal of 64646864064 is 46046864646.

64646864064 is a `hidden beast` number, since 6 + 464 + 6 + 86 + 40 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 64646864064.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10230634 + ... + 10236950.

Almost surely, 264646864064 is an apocalyptic number.

64646864064 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 64646864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94087782360).

64646864064 is an abundant number, since it is smaller than the sum of its proper divisors (123528700656).

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

64646864064 is a wasteful number, since it uses less digits than its factorization.

64646864064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 64646864064 in words is "sixty-four billion, six hundred forty-six million, eight hundred sixty-four thousand, sixty-four".