Search a number
-
+
20364999300 = 223252413171741
BaseRepresentation
bin10010111101110110…
…010011101010000100
31221120021100011011100
4102331312103222010
5313201414434200
613204444340100
71320443431542
oct227566235204
957507304140
1020364999300
118700569438
123b44244630
131bc71b3059
14db2978d92
157e2d18d00
hex4bdd93a84

20364999300 has 216 divisors, whose sum is σ = 65633814792. Its totient is φ = 5278464000.

The previous prime is 20364999299. The next prime is 20364999371. The reversal of 20364999300 is 399946302.

It can be written as a sum of positive squares in 12 ways, for example, as 20140718724 + 224280576 = 141918^2 + 14976^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11696430 + ... + 11698170.

Almost surely, 220364999300 is an apocalyptic number.

20364999300 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 20364999300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32816907396).

20364999300 is an abundant number, since it is smaller than the sum of its proper divisors (45268815492).

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

20364999300 is a wasteful number, since it uses less digits than its factorization.

20364999300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 20364999300 in words is "twenty billion, three hundred sixty-four million, nine hundred ninety-nine thousand, three hundred".