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68508443512320 = 29357193113011663
BaseRepresentation
bin11111001001110110111010…
…11100001000111000000000
322222120100021012221111111120
433210323131130020320000
532434420243014343240
6401412202223312240
720300400044463330
oct1744733534107000
9288510235844446
1068508443512320
111a9132a4395599
12782548b14b680
132c2c41a99b246
1412cbb7d7530c0
157dc0dda52ad0
hex3e4edd708e00

68508443512320 has 1280 divisors, whose sum is σ = 272346088734720. Its totient is φ = 14336704512000.

The previous prime is 68508443512279. The next prime is 68508443512321. The reversal of 68508443512320 is 2321534480586.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68508443512321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41195695809 + ... + 41195697471.

It is an arithmetic number, because the mean of its divisors is an integer number (212770381824).

Almost surely, 268508443512320 is an apocalyptic number.

68508443512320 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 68508443512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136173044367360).

68508443512320 is an abundant number, since it is smaller than the sum of its proper divisors (203837645222400).

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

68508443512320 is a wasteful number, since it uses less digits than its factorization.

68508443512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 68508443512320 in words is "sixty-eight trillion, five hundred eight billion, four hundred forty-three million, five hundred twelve thousand, three hundred twenty".