Search a number
-
+
20463257232 = 2433113124481
BaseRepresentation
bin10011000011101101…
…001000011010010000
31221211010020011201000
4103003231020122100
5313402043212412
613222314342000
71323045550035
oct230355103220
957733204630
1020463257232
118750a80040
123b7112a900
131c11666942
14dc1a3538c
157eb7774dc
hex4c3b48690

20463257232 has 240 divisors, whose sum is σ = 66225314880. Its totient is φ = 5999616000.

The previous prime is 20463257231. The next prime is 20463257237. The reversal of 20463257232 is 23275236402.

20463257232 is a `hidden beast` number, since 20 + 4 + 6 + 32 + 572 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20463257231) 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, 4564432 + ... + 4568912.

It is an arithmetic number, because the mean of its divisors is an integer number (275938812).

Almost surely, 220463257232 is an apocalyptic number.

20463257232 is a gapful number since it is divisible by the number (22) 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 20463257232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33112657440).

20463257232 is an abundant number, since it is smaller than the sum of its proper divisors (45762057648).

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

20463257232 is a wasteful number, since it uses less digits than its factorization.

20463257232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 20463257232 in words is "twenty billion, four hundred sixty-three million, two hundred fifty-seven thousand, two hundred thirty-two".