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942397327872 = 29357211132347
BaseRepresentation
bin11011011011010110100…
…00100000101000000000
310100002111021211111100000
431231223100200220000
5110420012203442442
62000533101200000
7125041325055300
oct15555320405000
93302437744300
10942397327872
113337397a5840
12132786b60000
136ab383ccc70
1433880119600
15197a970cd4c
hexdb6b420a00

942397327872 has 2880 divisors, whose sum is σ = 4107841081344. Its totient is φ = 211527106560.

The previous prime is 942397327867. The next prime is 942397327877. The reversal of 942397327872 is 278723793249.

942397327872 is a `hidden beast` number, since 9 + 4 + 239 + 7 + 327 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (942397327867) and next prime (942397327877).

It is a super-2 number, since 2×9423973278722 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (942397327877) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20051006953 + ... + 20051006999.

Almost surely, 2942397327872 is an apocalyptic number.

942397327872 is a gapful number since it is divisible by the number (92) 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 942397327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053920540672).

942397327872 is an abundant number, since it is smaller than the sum of its proper divisors (3165443753472).

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

942397327872 is a wasteful number, since it uses less digits than its factorization.

942397327872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 942397327872 in words is "nine hundred forty-two billion, three hundred ninety-seven million, three hundred twenty-seven thousand, eight hundred seventy-two".