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20589999360 = 283575912983
BaseRepresentation
bin10011001011010000…
…100111010100000000
31222010221201100012220
4103023100213110000
5314132014434420
613243043051040
71326145051440
oct231320472400
958127640186
1020589999360
1188065772a7
123ba7670a80
131c319b1598
14dd47c8120
15807960840
hex4cb427500

20589999360 has 288 divisors, whose sum is σ = 76433172480. Its totient is φ = 4626161664.

The previous prime is 20589999329. The next prime is 20589999389. The reversal of 20589999360 is 6399998502.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 20589999294 and 20589999303.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1579429 + ... + 1592411.

It is an arithmetic number, because the mean of its divisors is an integer number (265392960).

Almost surely, 220589999360 is an apocalyptic number.

20589999360 is a gapful number since it is divisible by the number (20) 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 20589999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38216586240).

20589999360 is an abundant number, since it is smaller than the sum of its proper divisors (55843173120).

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

20589999360 is a wasteful number, since it uses less digits than its factorization.

20589999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13073 (or 13059 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 60.

The spelling of 20589999360 in words is "twenty billion, five hundred eighty-nine million, nine hundred ninety-nine thousand, three hundred sixty".