Search a number
-
+
54581591232 = 2633719534481
BaseRepresentation
bin110010110101010100…
…001111110011000000
312012212212220010021000
4302311110033303000
51343240341404412
641024024532000
73641403604410
oct626524176300
9165785803230
1054581591232
1121169981393
12a6b3321000
1351bb012c5c
1428dadd8640
151646bed4dc
hexcb550fcc0

54581591232 has 448 divisors, whose sum is σ = 196720358400. Its totient is φ = 14491975680.

The previous prime is 54581591231. The next prime is 54581591237. The reversal of 54581591232 is 23219518545.

54581591232 is a `hidden beast` number, since 5 + 4 + 58 + 1 + 591 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (54581591231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12178432 + ... + 12182912.

Almost surely, 254581591232 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 54581591232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98360179200).

54581591232 is an abundant number, since it is smaller than the sum of its proper divisors (142138767168).

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

54581591232 is a wasteful number, since it uses less digits than its factorization.

54581591232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581 (or 4565 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 54581591232 in words is "fifty-four billion, five hundred eighty-one million, five hundred ninety-one thousand, two hundred thirty-two".