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68930457960 = 2335721319311531
BaseRepresentation
bin100000000110010010…
…0110101000101101000
320120220212211002000110
41000030210311011220
52112132144123320
651355522534320
74660106140200
oct1001444650550
9216825732013
1068930457960
11272624a0331
12114388073a0
13666699c240
14349c965400
151bd67945e0
hex100c935168

68930457960 has 768 divisors, whose sum is σ = 281672294400. Its totient is φ = 13324953600.

The previous prime is 68930457931. The next prime is 68930458013. The reversal of 68930457960 is 6975403986.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 68930457960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45022395 + ... + 45023925.

It is an arithmetic number, because the mean of its divisors is an integer number (366760800).

Almost surely, 268930457960 is an apocalyptic number.

68930457960 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 68930457960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140836147200).

68930457960 is an abundant number, since it is smaller than the sum of its proper divisors (212741836440).

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

68930457960 is a wasteful number, since it uses less digits than its factorization.

68930457960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 68930457960 in words is "sixty-eight billion, nine hundred thirty million, four hundred fifty-seven thousand, nine hundred sixty".