Search a number
-
+
20010783312 = 243213109281349
BaseRepresentation
bin10010101000101111…
…000101001001010000
31220122120211010011200
4102220233011021100
5311440230031222
613105352311200
71305612565062
oct225057051120
956576733150
1020010783312
118539624753
123a656a2500
131b6b9b1bb0
14d7b8d1732
157c1b9aeac
hex4a8bc5250

20010783312 has 240 divisors, whose sum is σ = 61255194000. Its totient is φ = 6061547520.

The previous prime is 20010783277. The next prime is 20010783329. The reversal of 20010783312 is 21338701002.

It can be written as a sum of positive squares in 8 ways, for example, as 275029056 + 19735754256 = 16584^2 + 140484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57337314 + ... + 57337662.

It is an arithmetic number, because the mean of its divisors is an integer number (255229975).

Almost surely, 220010783312 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 20010783312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30627597000).

20010783312 is an abundant number, since it is smaller than the sum of its proper divisors (41244410688).

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

20010783312 is a wasteful number, since it uses less digits than its factorization.

20010783312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 20010783312 in words is "twenty billion, ten million, seven hundred eighty-three thousand, three hundred twelve".