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68247398400 = 2113524310333
BaseRepresentation
bin111111100011110111…
…001010100000000000
320112011021112001110020
4333203313022200000
52104232313222100
651204042333440
74634143212666
oct774367124000
9215137461406
1068247398400
1126a419715a5
1211287aba280
13658831179c
143435d5ac36
151b9681b5a0
hexfe3dca800

68247398400 has 288 divisors, whose sum is σ = 230885534880. Its totient is φ = 17774346240.

The previous prime is 68247398381. The next prime is 68247398407. The reversal of 68247398400 is 489374286.

It is not an unprimeable number, because it can be changed into a prime (68247398407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6599634 + ... + 6609966.

It is an arithmetic number, because the mean of its divisors is an integer number (801685885).

Almost surely, 268247398400 is an apocalyptic number.

68247398400 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 68247398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115442767440).

68247398400 is an abundant number, since it is smaller than the sum of its proper divisors (162638136480).

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

68247398400 is a wasteful number, since it uses less digits than its factorization.

68247398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10411 (or 10386 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 68247398400 in words is "sixty-eight billion, two hundred forty-seven million, three hundred ninety-eight thousand, four hundred".