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997375675590 = 2325719314165557
BaseRepresentation
bin11101000001110000011…
…10010000110011000110
310112100101211021221011200
432200320032100303012
5112320111133104330
62042104342043330
7132025620235320
oct16407016206306
93470354257150
10997375675590
11354a91627148
1214136b119546
137308a68a068
14363b7ab2610
151ae2617da60
hexe838390cc6

997375675590 has 384 divisors, whose sum is σ = 3298836602880. Its totient is φ = 203905382400.

The previous prime is 997375675577. The next prime is 997375675601. The reversal of 997375675590 is 95576573799.

997375675590 is a `hidden beast` number, since 9 + 9 + 7 + 3 + 7 + 5 + 67 + 559 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15181092 + ... + 15246648.

It is an arithmetic number, because the mean of its divisors is an integer number (8590720320).

Almost surely, 2997375675590 is an apocalyptic number.

997375675590 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 997375675590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649418301440).

997375675590 is an abundant number, since it is smaller than the sum of its proper divisors (2301460927290).

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

997375675590 is a wasteful number, since it uses less digits than its factorization.

997375675590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65668 (or 65665 counting only the distinct ones).

The product of its (nonzero) digits is 562605750, while the sum is 72.

The spelling of 997375675590 in words is "nine hundred ninety-seven billion, three hundred seventy-five million, six hundred seventy-five thousand, five hundred ninety".