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68371623936 = 2123372113137
BaseRepresentation
bin111111101011010001…
…000011000000000000
320112110221021100212000
4333223101003000000
52110011113431221
651224241104000
74640212133400
oct775321030000
9215427240760
1068371623936
1126aa5aaa030
1211301628000
1365a7c87b15
143448656800
151ba26a8e26
hexfeb443000

68371623936 has 1248 divisors, whose sum is σ = 272512604160. Its totient is φ = 16721510400.

The previous prime is 68371623919. The next prime is 68371623959. The reversal of 68371623936 is 63932617386.

68371623936 is a `hidden beast` number, since 6 + 8 + 3 + 7 + 1 + 623 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5878656) is a multiple of the sum of its prime factors (126).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1847881710 + ... + 1847881746.

Almost surely, 268371623936 is an apocalyptic number.

68371623936 is a gapful number since it is divisible by the number (66) 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 68371623936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136256302080).

68371623936 is an abundant number, since it is smaller than the sum of its proper divisors (204140980224).

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

68371623936 is a wasteful number, since it uses less digits than its factorization.

68371623936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 68371623936 in words is "sixty-eight billion, three hundred seventy-one million, six hundred twenty-three thousand, nine hundred thirty-six".