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64865131320 = 2335111719167911
BaseRepresentation
bin111100011010010000…
…110101101100111000
320012102120012002021010
4330122100311230320
52030320433200240
645444300513520
74454263343013
oct743220655470
9205376162233
1064865131320
1125566748250
12106a324b8a0
136169687212
1431d4a8837a
151a49918280
hexf1a435b38

64865131320 has 512 divisors, whose sum is σ = 238281523200. Its totient is φ = 13921689600.

The previous prime is 64865131307. The next prime is 64865131399. The reversal of 64865131320 is 2313156846.

64865131320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×648651313202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71201665 + ... + 71202575.

It is an arithmetic number, because the mean of its divisors is an integer number (465393600).

Almost surely, 264865131320 is an apocalyptic number.

64865131320 is a gapful number since it is divisible by the number (60) 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 64865131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119140761600).

64865131320 is an abundant number, since it is smaller than the sum of its proper divisors (173416391880).

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

64865131320 is a wasteful number, since it uses less digits than its factorization.

64865131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 64865131320 in words is "sixty-four billion, eight hundred sixty-five million, one hundred thirty-one thousand, three hundred twenty".