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68760799776 = 25331713734171
BaseRepresentation
bin100000000001001110…
…1101000101000100000
320120111001120112202000
41000002131220220200
52111310231043101
651331022324000
74652646104004
oct1000235505040
9216431515660
1068760799776
1127185751659
12113aba29600
13663a7a9696
143484200704
151bc6930486
hex1002768a20

68760799776 has 192 divisors, whose sum is σ = 213905784960. Its totient is φ = 21413928960.

The previous prime is 68760799763. The next prime is 68760799787. The reversal of 68760799776 is 67799706786.

68760799776 is a `hidden beast` number, since 6 + 8 + 7 + 607 + 9 + 9 + 7 + 7 + 6 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 1995171 + ... + 2029341.

It is an arithmetic number, because the mean of its divisors is an integer number (1114092630).

Almost surely, 268760799776 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 68760799776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106952892480).

68760799776 is an abundant number, since it is smaller than the sum of its proper divisors (145144985184).

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

68760799776 is a wasteful number, since it uses less digits than its factorization.

68760799776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34344 (or 34330 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 72.

The spelling of 68760799776 in words is "sixty-eight billion, seven hundred sixty million, seven hundred ninety-nine thousand, seven hundred seventy-six".