Search a number
-
+
54445248360 = 233657325577
BaseRepresentation
bin110010101101001100…
…001000111101101000
312012112101100012000000
4302231030020331220
51343000440421420
641002314343000
73635126655336
oct625514107550
9165471305000
1054445248360
11210a9a17a28
12a67572aa60
1351989b63b9
1428c6c66b56
151639c6a690
hexcad308f68

54445248360 has 224 divisors, whose sum is σ = 186191981640. Its totient is φ = 14319286272.

The previous prime is 54445248329. The next prime is 54445248383. The reversal of 54445248360 is 6384254445.

54445248360 is a `hidden beast` number, since 5 + 4 + 4 + 45 + 248 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30743414244 + 23701834116 = 175338^2 + 153954^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2115892 + ... + 2141468.

Almost surely, 254445248360 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 54445248360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93095990820).

54445248360 is an abundant number, since it is smaller than the sum of its proper divisors (131746733280).

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

54445248360 is a wasteful number, since it uses less digits than its factorization.

54445248360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25679 (or 25660 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 54445248360 in words is "fifty-four billion, four hundred forty-five million, two hundred forty-eight thousand, three hundred sixty".