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20236532688 = 24322941181653
BaseRepresentation
bin10010110110001100…
…001111101111010000
31221020022121101002200
4102312030033233100
5312421023021223
613144015043200
71314323455401
oct226614175720
957208541080
1020236532688
118644aa4589
123b09210500
131ba66b34c8
14d9d8979a8
157d68dea43
hex4b630fbd0

20236532688 has 240 divisors, whose sum is σ = 60440037840. Its totient is φ = 6309273600.

The previous prime is 20236532683. The next prime is 20236532699. The reversal of 20236532688 is 88623563202.

20236532688 is a `hidden beast` number, since 2 + 0 + 2 + 36 + 532 + 6 + 88 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9422196624 + 10814336064 = 97068^2 + 103992^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20236532683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30989770 + ... + 30990422.

It is an arithmetic number, because the mean of its divisors is an integer number (251833491).

Almost surely, 220236532688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20236532688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30220018920).

20236532688 is an abundant number, since it is smaller than the sum of its proper divisors (40203505152).

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

20236532688 is a wasteful number, since it uses less digits than its factorization.

20236532688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 20236532688 in words is "twenty billion, two hundred thirty-six million, five hundred thirty-two thousand, six hundred eighty-eight".