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997242554880 = 2934511133199
BaseRepresentation
bin11101000001100000100…
…10011100101000000000
310112100001112210200220000
432200300102130220000
5112314323043224010
62042043224520000
7132022412566305
oct16406022345000
93470045720800
10997242554880
11354a23473630
12141332620000
1373068c1b000
14363a413d0ac
151ae196357c0
hexe83049ca00

997242554880 has 1600 divisors, whose sum is σ = 4242290976000. Its totient is φ = 222037770240.

The previous prime is 997242554831. The next prime is 997242554887. The reversal of 997242554880 is 88455242799.

997242554880 is a `hidden beast` number, since 9 + 9 + 7 + 2 + 4 + 2 + 5 + 548 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997242554887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5011269021 + ... + 5011269219.

It is an arithmetic number, because the mean of its divisors is an integer number (2651431860).

Almost surely, 2997242554880 is an apocalyptic number.

997242554880 is a gapful number since it is divisible by the number (90) 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 997242554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121145488000).

997242554880 is an abundant number, since it is smaller than the sum of its proper divisors (3245048421120).

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

997242554880 is a wasteful number, since it uses less digits than its factorization.

997242554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 997242554880 in words is "nine hundred ninety-seven billion, two hundred forty-two million, five hundred fifty-four thousand, eight hundred eighty".