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68830662600 = 23335272594409
BaseRepresentation
bin100000000011010100…
…0001000111111001000
320120122221000221112000
41000012220020333020
52111431122200400
651341555551000
74654454656500
oct1000650107710
9216587027460
1068830662600
1127211129627
121140b2bb460
13664c0ca92b
14348d5c8a00
151bccb30600
hex1006a08fc8

68830662600 has 576 divisors, whose sum is σ = 280528920000. Its totient is φ = 15462558720.

The previous prime is 68830662599. The next prime is 68830662611. The reversal of 68830662600 is 626603886.

68830662600 is a `hidden beast` number, since 6 + 8 + 8 + 30 + 6 + 6 + 2 + 600 = 666.

It is a super-2 number, since 2×688306626002 (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15609196 + ... + 15613604.

It is an arithmetic number, because the mean of its divisors is an integer number (487029375).

Almost surely, 268830662600 is an apocalyptic number.

68830662600 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 68830662600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140264460000).

68830662600 is an abundant number, since it is smaller than the sum of its proper divisors (211698257400).

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

68830662600 is a wasteful number, since it uses less digits than its factorization.

68830662600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4485 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 68830662600 in words is "sixty-eight billion, eight hundred thirty million, six hundred sixty-two thousand, six hundred".