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65116864 = 2623311427
BaseRepresentation
bin1111100001100…
…1101011000000
311112112021112201
43320121223000
5113132214424
610243402544
71420325041
oct370315300
9145467481
1065116864
113383629a
1219983454
131064bcb7
1489108c8
155ab3d44
hex3e19ac0

65116864 has 56 divisors (see below), whose sum is σ = 139281408. Its totient is φ = 30117120.

The previous prime is 65116859. The next prime is 65116867. The reversal of 65116864 is 46861156.

It is not an unprimeable number, because it can be changed into a prime (65116867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44919 + ... + 46345.

It is an arithmetic number, because the mean of its divisors is an integer number (2487168).

Almost surely, 265116864 is an apocalyptic number.

65116864 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 65116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69640704).

65116864 is an abundant number, since it is smaller than the sum of its proper divisors (74164544).

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

65116864 is a wasteful number, since it uses less digits than its factorization.

65116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1483 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 65116864 is about 8069.5020912074. The cubic root of 65116864 is about 402.3133947188.

The spelling of 65116864 in words is "sixty-five million, one hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1426 1427 1472 1984 2852 2854 5704 5708 11408 11416 22816 22832 32821 44237 45632 45664 65642 88474 91328 131284 176948 262568 353896 525136 707792 1017451 1050272 1415584 2034902 2100544 2831168 4069804 8139608 16279216 32558432 65116864