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868672491840 = 263251117270029
BaseRepresentation
bin11001010010000001110…
…10100101000101000000
310002001012021112210000100
430221000322211011000
5103213020124214330
61503021310122400
7116521341231336
oct14510072450500
93061167483010
10868672491840
11305446a8028a
121204307b0400
1363bb937732a
1430088939b56
15178e20cc060
hexca40ea5140

868672491840 has 168 divisors, whose sum is σ = 2990557407240. Its totient is φ = 231437758464.

The previous prime is 868672491823. The next prime is 868672491881. The reversal of 868672491840 is 48194276868.

868672491840 is a `hidden beast` number, since 8 + 6 + 8 + 67 + 2 + 491 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6760786176 + 861911705664 = 82224^2 + 928392^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3081946 + ... + 3351974.

Almost surely, 2868672491840 is an apocalyptic number.

868672491840 is a gapful number since it is divisible by the number (80) 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 868672491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495278703620).

868672491840 is an abundant number, since it is smaller than the sum of its proper divisors (2121884915400).

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

868672491840 is a wasteful number, since it uses less digits than its factorization.

868672491840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271169 (or 271156 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 868672491840 in words is "eight hundred sixty-eight billion, six hundred seventy-two million, four hundred ninety-one thousand, eight hundred forty".