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67349108640 = 25351134693677
BaseRepresentation
bin111110101110010100…
…011101011110100000
320102211200020012120010
4332232110131132200
52100412332434030
650534553044520
74602654656262
oct765624353640
9212750205503
1067349108640
11266208a8170
12110770b6740
136474196698
14338c927b32
151b42a2b6b0
hexfae51d7a0

67349108640 has 192 divisors, whose sum is σ = 231565703040. Its totient is φ = 16317911040.

The previous prime is 67349108551. The next prime is 67349108669. The reversal of 67349108640 is 4680194376.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 67349108640.

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, 18314482 + ... + 18318158.

It is an arithmetic number, because the mean of its divisors is an integer number (1206071370).

Almost surely, 267349108640 is an apocalyptic number.

67349108640 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 67349108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115782851520).

67349108640 is an abundant number, since it is smaller than the sum of its proper divisors (164216594400).

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

67349108640 is a wasteful number, since it uses less digits than its factorization.

67349108640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175 (or 7167 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 67349108640 in words is "sixty-seven billion, three hundred forty-nine million, one hundred eight thousand, six hundred forty".