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68522188320 = 253251729263367
BaseRepresentation
bin111111110100001111…
…011001111000100000
320112212102120211100200
4333310033121320200
52110313140011240
651251220145200
74644020663535
oct776417317040
9215772524320
1068522188320
1127072a97303
1211343b38200
136600223881
14346064ad8c
151bb09ea930
hexff43d9e20

68522188320 has 576 divisors, whose sum is σ = 257798661120. Its totient is φ = 16496492544.

The previous prime is 68522188307. The next prime is 68522188321. The reversal of 68522188320 is 2388122586.

68522188320 is a `hidden beast` number, since 68 + 52 + 218 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (68522188321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186708777 + ... + 186709143.

It is an arithmetic number, because the mean of its divisors is an integer number (447567120).

Almost surely, 268522188320 is an apocalyptic number.

68522188320 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 68522188320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128899330560).

68522188320 is an abundant number, since it is smaller than the sum of its proper divisors (189276472800).

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

68522188320 is a wasteful number, since it uses less digits than its factorization.

68522188320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 68522188320 in words is "sixty-eight billion, five hundred twenty-two million, one hundred eighty-eight thousand, three hundred twenty".