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68151205166976 = 273619161923743
BaseRepresentation
bin11110111111011101100000…
…10111111111111110000000
322221022012011122222021000000
433133232300113333332000
532413042132010320401
6400540121554000000
720232522252604401
oct1737566027777600
9287265148867000
1068151205166976
111a795844689258
1277881b0876000
132c04828605049
1412b877083d9a8
157d2b81304186
hex3dfbb05fff80

68151205166976 has 448 divisors, whose sum is σ = 214417010304000. Its totient is φ = 21507234296832.

The previous prime is 68151205166969. The next prime is 68151205167011. The reversal of 68151205166976 is 67966150215186.

68151205166976 is a `hidden beast` number, since 6 + 8 + 1 + 5 + 1 + 20 + 516 + 6 + 97 + 6 = 666.

It is a super-2 number, since 2×681512051669762 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2870358561 + ... + 2870382303.

It is an arithmetic number, because the mean of its divisors is an integer number (478609398000).

Almost surely, 268151205166976 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 68151205166976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107208505152000).

68151205166976 is an abundant number, since it is smaller than the sum of its proper divisors (146265805137024).

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

68151205166976 is a wasteful number, since it uses less digits than its factorization.

68151205166976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25413 (or 25386 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 68151205166976 in words is "sixty-eight trillion, one hundred fifty-one billion, two hundred five million, one hundred sixty-six thousand, nine hundred seventy-six".