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68239065600 = 29365271103
BaseRepresentation
bin111111100011010111…
…011000001000000000
320112010200211201000000
4333203113120020000
52104223200044400
651203144000000
74634012326056
oct774327301000
9215120751000
1068239065600
1126a3819aa92
1211285160000
136586684a34
143434bcc1d6
151b95c22600
hexfe35d8200

68239065600 has 840 divisors, whose sum is σ = 259551369792. Its totient is φ = 17766604800.

The previous prime is 68239065599. The next prime is 68239065619. The reversal of 68239065600 is 656093286.

It is a happy number.

68239065600 is a `hidden beast` number, since 6 + 8 + 2 + 39 + 0 + 6 + 5 + 600 = 666.

It is a super-2 number, since 2×682390656002 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 662515149 + ... + 662515251.

Almost surely, 268239065600 is an apocalyptic number.

68239065600 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 68239065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129775684896).

68239065600 is an abundant number, since it is smaller than the sum of its proper divisors (191312304192).

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

68239065600 is an equidigital number, since it uses as much as digits as its factorization.

68239065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 68239065600 in words is "sixty-eight billion, two hundred thirty-nine million, sixty-five thousand, six hundred".