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68908430400 = 26352611571499
BaseRepresentation
bin100000000101101000…
…0110011010001000000
320120212100100221212220
41000023100303101000
52112111024233100
651353414451040
74656420664665
oct1001320632100
9216770327786
1068908430400
1127251015737
1211431363a80
136662258c94
143499a6da6c
151bd4892aa0
hex100b433440

68908430400 has 336 divisors, whose sum is σ = 231401112000. Its totient is φ = 17947238400.

The previous prime is 68908430351. The next prime is 68908430413. The reversal of 68908430400 is 403480986.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45968851 + ... + 45970349.

Almost surely, 268908430400 is an apocalyptic number.

68908430400 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 68908430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115700556000).

68908430400 is an abundant number, since it is smaller than the sum of its proper divisors (162492681600).

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

68908430400 is a wasteful number, since it uses less digits than its factorization.

68908430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 68908430400 in words is "sixty-eight billion, nine hundred eight million, four hundred thirty thousand, four hundred".