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64515372480 = 2635513193359
BaseRepresentation
bin111100000101011010…
…100111010111000000
320011112012001111100000
4330011122213113000
52024111413404410
645345444200000
74442515421646
oct740532472700
9204465044300
1064515372480
11253a7278259
1210606099000
136112086a20
1431a0441196
151a28d7adc0
hexf056a75c0

64515372480 has 672 divisors, whose sum is σ = 260947814400. Its totient is φ = 15040401408.

The previous prime is 64515372479. The next prime is 64515372491. The reversal of 64515372480 is 8427351546.

64515372480 is a `hidden beast` number, since 6 + 4 + 51 + 53 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19205041 + ... + 19208399.

It is an arithmetic number, because the mean of its divisors is an integer number (388315200).

Almost surely, 264515372480 is an apocalyptic number.

64515372480 is a gapful number since it is divisible by the number (60) 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 64515372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130473907200).

64515372480 is an abundant number, since it is smaller than the sum of its proper divisors (196432441920).

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

64515372480 is a wasteful number, since it uses less digits than its factorization.

64515372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 64515372480 in words is "sixty-four billion, five hundred fifteen million, three hundred seventy-two thousand, four hundred eighty".