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20598385104 = 243311171072383
BaseRepresentation
bin10011001011110000…
…100110100111010000
31222011112111101022000
4103023300212213100
5314141141310404
613243542514000
71326306245613
oct231360464720
958145441260
1020598385104
118810284670
123baa435900
131c3365946b
14dd596c17a
1580856a339
hex4cbc269d0

20598385104 has 320 divisors, whose sum is σ = 68961300480. Its totient is φ = 5817415680.

The previous prime is 20598385091. The next prime is 20598385123. The reversal of 20598385104 is 40158389502.

20598385104 is a `hidden beast` number, since 2 + 0 + 59 + 83 + 8 + 510 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20598385104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8642697 + ... + 8645079.

It is an arithmetic number, because the mean of its divisors is an integer number (215504064).

Almost surely, 220598385104 is an apocalyptic number.

20598385104 is a gapful number since it is divisible by the number (24) 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 20598385104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34480650240).

20598385104 is an abundant number, since it is smaller than the sum of its proper divisors (48362915376).

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

20598385104 is a wasteful number, since it uses less digits than its factorization.

20598385104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 20598385104 in words is "twenty billion, five hundred ninety-eight million, three hundred eighty-five thousand, one hundred four".