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68130351432 = 23321113311131889
BaseRepresentation
bin111111011100111000…
…101010100101001000
320111212010021110012100
4333130320222211020
52104012332221212
651144301513400
74631222301123
oct773470524510
9214763243170
1068130351432
1126991897470
1211254872860
136569caca20
1434245ad3ba
151b8b3eabdc
hexfdce2a948

68130351432 has 384 divisors, whose sum is σ = 225871027200. Its totient is φ = 18269798400.

The previous prime is 68130351409. The next prime is 68130351467. The reversal of 68130351432 is 23415303186.

68130351432 is a `hidden beast` number, since 6 + 8 + 130 + 3 + 514 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36065944 + ... + 36067832.

It is an arithmetic number, because the mean of its divisors is an integer number (588205800).

Almost surely, 268130351432 is an apocalyptic number.

68130351432 is a gapful number since it is divisible by the number (62) 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 68130351432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112935513600).

68130351432 is an abundant number, since it is smaller than the sum of its proper divisors (157740675768).

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

68130351432 is a wasteful number, since it uses less digits than its factorization.

68130351432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 68130351432 in words is "sixty-eight billion, one hundred thirty million, three hundred fifty-one thousand, four hundred thirty-two".