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65521000116 = 223411136197239
BaseRepresentation
bin111101000001010110…
…110001111010110100
320021010021022200010000
4331001112301322310
52033141334000431
650033330231300
74506446211645
oct750126617264
9207107280100
1065521000116
1125872995180
1210846a25530
136242514570
143257c156cc
151a872be9e6
hexf415b1eb4

65521000116 has 480 divisors, whose sum is σ = 207501719040. Its totient is φ = 17766604800.

The previous prime is 65521000063. The next prime is 65521000141. The reversal of 65521000116 is 61100012556.

It is a happy number.

65521000116 is a `hidden beast` number, since 6 + 552 + 100 + 0 + 1 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 65521000116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 274146325 + ... + 274146563.

It is an arithmetic number, because the mean of its divisors is an integer number (432295248).

Almost surely, 265521000116 is an apocalyptic number.

65521000116 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 65521000116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103750859520).

65521000116 is an abundant number, since it is smaller than the sum of its proper divisors (141980718924).

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

65521000116 is a wasteful number, since it uses less digits than its factorization.

65521000116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 65521000116 in words is "sixty-five billion, five hundred twenty-one million, one hundred sixteen", and thus it is an aban number.