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20112558840 = 23325112329601
BaseRepresentation
bin10010101110110011…
…010100101011111000
31220220200022211221200
4102232303110223320
5312142303340330
613123425534200
71311256633533
oct225663245370
956820284850
1020112558840
118591019160
123a937a4360
131b86ac78ba
14d8b225a1a
157caaa1a60
hex4aecd4af8

20112558840 has 288 divisors, whose sum is σ = 74551080240. Its totient is φ = 4663296000.

The previous prime is 20112558797. The next prime is 20112558853. The reversal of 20112558840 is 4885521102.

20112558840 is a `hidden beast` number, since 2 + 0 + 11 + 25 + 588 + 40 = 666.

It is a super-3 number, since 3×201125588403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20112558795 and 20112558804.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2090040 + ... + 2099640.

Almost surely, 220112558840 is an apocalyptic number.

20112558840 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 20112558840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37275540120).

20112558840 is an abundant number, since it is smaller than the sum of its proper divisors (54438521400).

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

20112558840 is a wasteful number, since it uses less digits than its factorization.

20112558840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9675 (or 9645 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 20112558840 in words is "twenty billion, one hundred twelve million, five hundred fifty-eight thousand, eight hundred forty".