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64131640848 = 243211311996563
BaseRepresentation
bin111011101110100010…
…110010111000010000
320010112102222220111100
4323232202302320100
52022320200001343
645243415344400
74430145644562
oct735642627020
9203472886440
1064131640848
112521a703a80
1210519682100
1360807201a2
1431654b3332
151a0532c9d3
hexeee8b2e10

64131640848 has 240 divisors, whose sum is σ = 203158425600. Its totient is φ = 18709574400.

The previous prime is 64131640819. The next prime is 64131640901. The reversal of 64131640848 is 84804613146.

64131640848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641316408482 (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 47 ways as a sum of consecutive naturals, for example, 9768415 + ... + 9774977.

It is an arithmetic number, because the mean of its divisors is an integer number (846493440).

Almost surely, 264131640848 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 64131640848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101579212800).

64131640848 is an abundant number, since it is smaller than the sum of its proper divisors (139026784752).

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

64131640848 is a wasteful number, since it uses less digits than its factorization.

64131640848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 64131640848 in words is "sixty-four billion, one hundred thirty-one million, six hundred forty thousand, eight hundred forty-eight".