Search a number
-
+
20115084528 = 24327112831987
BaseRepresentation
bin10010101110111100…
…111101010011110000
31220220212002011112200
4102232330331103300
5312143430201103
613124000023200
71311320253210
oct225674752360
956825064480
1020115084528
118592493800
123a94601b00
131b874a03a6
14d8b6c2240
157cae000a3
hex4aef3d4f0

20115084528 has 360 divisors, whose sum is σ = 71604833664. Its totient is φ = 5159151360.

The previous prime is 20115084511. The next prime is 20115084551. The reversal of 20115084528 is 82548051102.

20115084528 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 50 + 84 + 528 = 666.

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 = 20115084492 and 20115084501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10122351 + ... + 10124337.

Almost surely, 220115084528 is an apocalyptic number.

20115084528 is a gapful number since it is divisible by the number (28) 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 20115084528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35802416832).

20115084528 is an abundant number, since it is smaller than the sum of its proper divisors (51489749136).

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

20115084528 is a wasteful number, since it uses less digits than its factorization.

20115084528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2093 counting only the distinct ones).

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

The spelling of 20115084528 in words is "twenty billion, one hundred fifteen million, eighty-four thousand, five hundred twenty-eight".