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64292718336 = 28371117312063
BaseRepresentation
bin111011111000001001…
…010000011100000000
320010221200002111021020
4323320021100130000
52023132413441321
645311412025440
74434143042340
oct737011203400
9203850074236
1064292718336
11252a2621970
1210563602280
1360a7bca202
14317ca42d20
151a145494c6
hexef8250700

64292718336 has 576 divisors, whose sum is σ = 233283649536. Its totient is φ = 15202713600.

The previous prime is 64292718299. The next prime is 64292718341. The reversal of 64292718336 is 63381729246.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31163641 + ... + 31165703.

It is an arithmetic number, because the mean of its divisors is an integer number (405006336).

Almost surely, 264292718336 is an apocalyptic number.

64292718336 is a gapful number since it is divisible by the number (66) 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 64292718336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116641824768).

64292718336 is an abundant number, since it is smaller than the sum of its proper divisors (168990931200).

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

64292718336 is a wasteful number, since it uses less digits than its factorization.

64292718336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2134 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The spelling of 64292718336 in words is "sixty-four billion, two hundred ninety-two million, seven hundred eighteen thousand, three hundred thirty-six".