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68600252160 = 2833511315821
BaseRepresentation
bin111111111000111001…
…001100011100000000
320120001212110212211000
4333320321030130000
52110443131032120
651303045252000
74645656344106
oct777071143400
9216055425730
1068600252160
1127103065880
1211366104000
1366134568ab
14346ab6bc76
151bb77ba990
hexff8e4c700

68600252160 has 576 divisors, whose sum is σ = 274179870720. Its totient is φ = 16091136000.

The previous prime is 68600252141. The next prime is 68600252207. The reversal of 68600252160 is 6125200686.

68600252160 is a `hidden beast` number, since 6 + 8 + 600 + 25 + 21 + 6 + 0 = 666.

68600252160 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 (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11782050 + ... + 11787870.

It is an arithmetic number, because the mean of its divisors is an integer number (476006720).

Almost surely, 268600252160 is an apocalyptic number.

68600252160 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 68600252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137089935360).

68600252160 is an abundant number, since it is smaller than the sum of its proper divisors (205579618560).

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

68600252160 is a wasteful number, since it uses less digits than its factorization.

68600252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 68600252160 in words is "sixty-eight billion, six hundred million, two hundred fifty-two thousand, one hundred sixty".