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68928076800 = 21032521127197
BaseRepresentation
bin100000000110001101…
…1101111110000000000
320120220201100002200100
41000030123233300000
52112131041424200
651355355522400
74660046662062
oct1001433576000
9216821302610
1068928076800
1127261114330
1211437a59400
13666634747b
14349c505732
151bd6473d00
hex100c6efc00

68928076800 has 396 divisors, whose sum is σ = 269240943816. Its totient is φ = 16709222400.

The previous prime is 68928076783. The next prime is 68928076813. The reversal of 68928076800 is 867082986.

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2520802 + ... + 2547998.

Almost surely, 268928076800 is an apocalyptic number.

68928076800 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 68928076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134620471908).

68928076800 is an abundant number, since it is smaller than the sum of its proper divisors (200312867016).

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

68928076800 is a wasteful number, since it uses less digits than its factorization.

68928076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27244 (or 27218 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 68928076800 in words is "sixty-eight billion, nine hundred twenty-eight million, seventy-six thousand, eight hundred".