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1239693931008 = 29321361339257
BaseRepresentation
bin10010000010100011100…
…001000011001000000000
311101111212101211201202100
4102002203201003020000
5130302343121243013
62345301343150400
7155364525356301
oct22024341031000
94344771751670
101239693931008
114388299a5a55
12180316ba5400
138cb97125c50
14440041c27a8
15223a98b5473
hex120a3843200

1239693931008 has 240 divisors, whose sum is σ = 3916235579256. Its totient is φ = 375189995520.

The previous prime is 1239693930991. The next prime is 1239693931027. The reversal of 1239693931008 is 8001393969321.

It is a happy number.

1239693931008 is a `hidden beast` number, since 1 + 239 + 6 + 9 + 393 + 10 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 202327236864 + 1037366694144 = 449808^2 + 1018512^2 .

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 23 ways as a sum of consecutive naturals, for example, 3484516 + ... + 3823772.

Almost surely, 21239693931008 is an apocalyptic number.

1239693931008 is a gapful number since it is divisible by the number (18) 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 1239693931008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958117789628).

1239693931008 is an abundant number, since it is smaller than the sum of its proper divisors (2676541648248).

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

1239693931008 is a wasteful number, since it uses less digits than its factorization.

1239693931008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339355 (or 339336 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 1239693931008 in words is "one trillion, two hundred thirty-nine billion, six hundred ninety-three million, nine hundred thirty-one thousand, eight".