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68926191840 = 253851147127
BaseRepresentation
bin100000000110001010…
…0100011100011100000
320120220120210100000000
41000030110203203200
52112130101114330
651355251300000
74660024651422
oct1001424434340
9216816710000
1068926191840
1127260047110
12114372aa600
136665b374cc
14349c174812
151bd6200560
hex100c5238e0

68926191840 has 864 divisors, whose sum is σ = 274260639744. Its totient is φ = 16225090560.

The previous prime is 68926191797. The next prime is 68926191853. The reversal of 68926191840 is 4819162986.

68926191840 is a `hidden beast` number, since 6 + 8 + 9 + 2 + 619 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 542725857 + ... + 542725983.

It is an arithmetic number, because the mean of its divisors is an integer number (317431296).

Almost surely, 268926191840 is an apocalyptic number.

68926191840 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 68926191840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137130319872).

68926191840 is an abundant number, since it is smaller than the sum of its proper divisors (205334447904).

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

68926191840 is a wasteful number, since it uses less digits than its factorization.

68926191840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 68926191840 in words is "sixty-eight billion, nine hundred twenty-six million, one hundred ninety-one thousand, eight hundred forty".