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64641196032 = 213371723312
BaseRepresentation
bin111100001100111010…
…100110000000000000
320011211221210222210120
4330030322212000000
52024341121233112
645410141100240
74445604046320
oct741472460000
9204757728716
1064641196032
11254612a7366
1210640257680
13613216c52a
1431b3035280
151a34e31e8c
hexf0cea6000

64641196032 has 672 divisors, whose sum is σ = 224893241856. Its totient is φ = 16090398720.

The previous prime is 64641196031. The next prime is 64641196073. The reversal of 64641196032 is 23069114646.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64641196031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2085199857 + ... + 2085199887.

Almost surely, 264641196032 is an apocalyptic number.

64641196032 is a gapful number since it is divisible by the number (62) 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 64641196032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112446620928).

64641196032 is an abundant number, since it is smaller than the sum of its proper divisors (160252045824).

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

64641196032 is a wasteful number, since it uses less digits than its factorization.

64641196032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 83 counting only the distinct ones).

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

The spelling of 64641196032 in words is "sixty-four billion, six hundred forty-one million, one hundred ninety-six thousand, thirty-two".