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19997589000 = 2335353173727
BaseRepresentation
bin10010100111111100…
…101111111000001000
31220121122222202222110
4102213330233320020
5311423340322000
613104201422320
71305362462514
oct224774577010
956548882873
1019997589000
118532132664
123a6119a9a0
131b690423cc
14d79c59144
157c0941850
hex4a7f2fe08

19997589000 has 256 divisors, whose sum is σ = 64025095680. Its totient is φ = 5194675200.

The previous prime is 19997588969. The next prime is 19997589013. The reversal of 19997589000 is 98579991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27506637 + ... + 27507363.

It is an arithmetic number, because the mean of its divisors is an integer number (250098030).

Almost surely, 219997589000 is an apocalyptic number.

19997589000 is a gapful number since it is divisible by the number (10) 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 19997589000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32012547840).

19997589000 is an abundant number, since it is smaller than the sum of its proper divisors (44027506680).

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

19997589000 is a wasteful number, since it uses less digits than its factorization.

19997589000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 57.

The spelling of 19997589000 in words is "nineteen billion, nine hundred ninety-seven million, five hundred eighty-nine thousand".