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68930459136 = 293372112292
BaseRepresentation
bin100000000110010010…
…0110101011000000000
320120220212211010122000
41000030210311120000
52112132144143021
651355522544000
74660106143500
oct1001444653000
9216825733560
1068930459136
11272624a1200
1211438808000
13666699c936
14349c965a00
151bd6794b26
hex100c935600

68930459136 has 1080 divisors, whose sum is σ = 270196846920. Its totient is φ = 17286635520.

The previous prime is 68930459083. The next prime is 68930459161. The reversal of 68930459136 is 63195403986.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2376912370 + ... + 2376912398.

Almost surely, 268930459136 is an apocalyptic number.

68930459136 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 68930459136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135098423460).

68930459136 is an abundant number, since it is smaller than the sum of its proper divisors (201266387784).

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

68930459136 is a wasteful number, since it uses less digits than its factorization.

68930459136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

Multiplying 68930459136 by its sum of digits (54), we get a square (3722244793344 = 19293122).

68930459136 divided by its sum of digits (54) gives a square (1276489984 = 357282).

The spelling of 68930459136 in words is "sixty-eight billion, nine hundred thirty million, four hundred fifty-nine thousand, one hundred thirty-six".