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68981926017312 = 25327117999139733
BaseRepresentation
bin11111010111101000110110…
…01100100011100100100000
3100001020121102000210220010100
433223310123030203210200
533020144441030023222
6402413505340502400
720346531301406640
oct1753643314434440
9301217360726110
1068981926017312
111aa86085977560
1278a11ab54aa00
132c64c770a6369
141306a58c54520
157e95a16604ac
hex3ebd1b323920

68981926017312 has 576 divisors, whose sum is σ = 247924291829760. Its totient is φ = 17672285030400.

The previous prime is 68981926017293. The next prime is 68981926017313. The reversal of 68981926017312 is 21371062918986.

68981926017312 is a `hidden beast` number, since 6 + 8 + 9 + 8 + 1 + 9 + 2 + 601 + 7 + 3 + 12 = 666.

68981926017312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×689819260173122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 68981926017312.

It is not an unprimeable number, because it can be changed into a prime (68981926017313) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1736116998 + ... + 1736156730.

It is an arithmetic number, because the mean of its divisors is an integer number (430424117760).

Almost surely, 268981926017312 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 68981926017312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123962145914880).

68981926017312 is an abundant number, since it is smaller than the sum of its proper divisors (178942365812448).

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

68981926017312 is a wasteful number, since it uses less digits than its factorization.

68981926017312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40837 (or 40826 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 68981926017312 in words is "sixty-eight trillion, nine hundred eighty-one billion, nine hundred twenty-six million, seventeen thousand, three hundred twelve".