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997892327808 = 27341912739887
BaseRepresentation
bin11101000010101110000…
…01001000100110000000
310112101201211110120210000
432201113001020212000
5112322140413442213
62042231515440000
7132044462556105
oct16412701104600
93471654416700
10997892327808
11355227227652
12141494156000
137314072282c
1436426560aac
151ae566d5c73
hexe857048980

997892327808 has 320 divisors, whose sum is σ = 3150705254400. Its totient is φ = 312634764288.

The previous prime is 997892327807. The next prime is 997892327833. The reversal of 997892327808 is 808723298799.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997892327807) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24998041 + ... + 25037927.

It is an arithmetic number, because the mean of its divisors is an integer number (9845953920).

Almost surely, 2997892327808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997892327808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575352627200).

997892327808 is an abundant number, since it is smaller than the sum of its proper divisors (2152812926592).

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

997892327808 is a wasteful number, since it uses less digits than its factorization.

997892327808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40059 (or 40038 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 997892327808 in words is "nine hundred ninety-seven billion, eight hundred ninety-two million, three hundred twenty-seven thousand, eight hundred eight".