Search a number
-
+
65052564408 = 2332131491572971
BaseRepresentation
bin111100100101011011…
…110101101110111000
320012220121212200010100
4330211123311232320
52031211424030113
645515034115400
74462030450116
oct744533655670
9205817780110
1065052564408
1125652527527
1210735b7bb60
136199461480
143211918ab6
151a5b0ddd73
hexf256f5bb8

65052564408 has 192 divisors, whose sum is σ = 192291372000. Its totient is φ = 19748551680.

The previous prime is 65052564377. The next prime is 65052564427. The reversal of 65052564408 is 80446525056.

65052564408 is a `hidden beast` number, since 65 + 0 + 525 + 64 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×650525644082 (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 47 ways as a sum of consecutive naturals, for example, 21894363 + ... + 21897333.

Almost surely, 265052564408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65052564408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96145686000).

65052564408 is an abundant number, since it is smaller than the sum of its proper divisors (127238807592).

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

65052564408 is a wasteful number, since it uses less digits than its factorization.

65052564408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 65052564408 in words is "sixty-five billion, fifty-two million, five hundred sixty-four thousand, four hundred eight".