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64843406496 = 25331115743457
BaseRepresentation
bin111100011000111101…
…111101110010100000
320012101001022100102000
4330120331331302200
52030244403001441
645442203124000
74453610601231
oct743075756240
9205331270360
1064843406496
112555545a050
1210697b13600
13616501b9ab
1431d1c31088
151a47a762b6
hexf18f7dca0

64843406496 has 192 divisors, whose sum is σ = 207638847360. Its totient is φ = 19523911680.

The previous prime is 64843406437. The next prime is 64843406501. The reversal of 64843406496 is 69460434846.

It is a happy number.

64843406496 is a `hidden beast` number, since 64 + 8 + 434 + 0 + 64 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470400 + ... + 1513856.

It is an arithmetic number, because the mean of its divisors is an integer number (1081452330).

Almost surely, 264843406496 is an apocalyptic number.

64843406496 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 64843406496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103819423680).

64843406496 is an abundant number, since it is smaller than the sum of its proper divisors (142795440864).

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

64843406496 is a wasteful number, since it uses less digits than its factorization.

64843406496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43644 (or 43630 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 64843406496 in words is "sixty-four billion, eight hundred forty-three million, four hundred six thousand, four hundred ninety-six".