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64498872960 = 2732515497229
BaseRepresentation
bin111100000100011011…
…101011001010000000
320011111001000020020200
4330010123223022000
52024043202413320
645344054405200
74442225242254
oct740433531200
9204431006220
1064498872960
1125398a28995
1210600660800
13610b82a9b2
14319c188264
151a276bc290
hexf046eb280

64498872960 has 192 divisors, whose sum is σ = 222897285000. Its totient is φ = 17186217984.

The previous prime is 64498872887. The next prime is 64498872989. The reversal of 64498872960 is 6927889446.

64498872960 is a `hidden beast` number, since 6 + 4 + 498 + 87 + 2 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62504000064 + 1994872896 = 250008^2 + 44664^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×644988729602 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8918626 + ... + 8925854.

Almost surely, 264498872960 is an apocalyptic number.

64498872960 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 64498872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111448642500).

64498872960 is an abundant number, since it is smaller than the sum of its proper divisors (158398412040).

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

64498872960 is a wasteful number, since it uses less digits than its factorization.

64498872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 64498872960 in words is "sixty-four billion, four hundred ninety-eight million, eight hundred seventy-two thousand, nine hundred sixty".