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68074772599008 = 25327231931760301
BaseRepresentation
bin11110111101001111001001…
…01000111001000011100000
322221000212212221121111202100
433132213210220321003200
532410314113241132013
6400441041354450400
720224145216522310
oct1736474450710340
9287025787544670
1068074772599008
111a76639247670a
12777541b733a00
132bca5675b9576
1412b4b9d7b7440
157d0bab112473
hex3de9e4a390e0

68074772599008 has 288 divisors, whose sum is σ = 230982131907072. Its totient is φ = 18594626688000.

The previous prime is 68074772598961. The next prime is 68074772599037. The reversal of 68074772599008 is 80099527747086.

68074772599008 is a `hidden beast` number, since 68 + 0 + 7 + 477 + 2 + 5 + 9 + 90 + 0 + 8 = 666.

68074772599008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×680747725990082 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89156458 + ... + 89916758.

It is an arithmetic number, because the mean of its divisors is an integer number (802021291344).

Almost surely, 268074772599008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68074772599008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115491065953536).

68074772599008 is an abundant number, since it is smaller than the sum of its proper divisors (162907359308064).

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

68074772599008 is a wasteful number, since it uses less digits than its factorization.

68074772599008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762278 (or 762267 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 68074772599008 in words is "sixty-eight trillion, seventy-four billion, seven hundred seventy-two million, five hundred ninety-nine thousand, eight".