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68114027520 = 21037571179
BaseRepresentation
bin111111011011111010…
…011001010000000000
320111210222120010000000
4333123322121100000
52103444142340040
651142520000000
74630633452420
oct773372312000
9214728503000
1068114027520
1126983658030
121124b300000
1365667b58c6
143422360480
151b89c74130
hexfdbe99400

68114027520 has 1408 divisors, whose sum is σ = 309388492800. Its totient is φ = 13974405120.

The previous prime is 68114027519. The next prime is 68114027549. The reversal of 68114027520 is 2572041186.

68114027520 is a `hidden beast` number, since 68 + 11 + 40 + 27 + 520 = 666.

68114027520 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 (1408).

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 127 ways as a sum of consecutive naturals, for example, 862202841 + ... + 862202919.

Almost surely, 268114027520 is an apocalyptic number.

68114027520 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 68114027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154694246400).

68114027520 is an abundant number, since it is smaller than the sum of its proper divisors (241274465280).

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

68114027520 is an equidigital number, since it uses as much as digits as its factorization.

68114027520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 68114027520 in words is "sixty-eight billion, one hundred fourteen million, twenty-seven thousand, five hundred twenty".