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64687909104 = 243271310945289
BaseRepresentation
bin111100001111101100…
…110010100011110000
320011222012201021002100
4330033230302203300
52024440101042404
645414530220400
74450012104120
oct741754624360
9204865637070
1064687909104
1125485702605
1210653a24700
13613ba467c0
1431b9314c80
151a390acd39
hexf0fb328f0

64687909104 has 240 divisors, whose sum is σ = 224863038400. Its totient is φ = 16903655424.

The previous prime is 64687909087. The next prime is 64687909189. The reversal of 64687909104 is 40190978646.

64687909104 is a `hidden beast` number, since 6 + 468 + 7 + 90 + 91 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1405692 + ... + 1450980.

Almost surely, 264687909104 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 64687909104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112431519200).

64687909104 is an abundant number, since it is smaller than the sum of its proper divisors (160175129296).

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

64687909104 is a wasteful number, since it uses less digits than its factorization.

64687909104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45432 (or 45423 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 64687909104 in words is "sixty-four billion, six hundred eighty-seven million, nine hundred nine thousand, one hundred four".