Search a number
-
+
45488157480 = 23325594215087
BaseRepresentation
bin101010010111010011…
…100011001100101000
311100102010222211020100
4222113103203030220
51221124432014410
632521425025400
73200144646633
oct522723431450
9140363884210
1045488157480
1118322973a87
128995a85260
13439c0aab1c
1422b7420c1a
1512b37178c0
hexa974e3328

45488157480 has 192 divisors, whose sum is σ = 150728947200. Its totient is φ = 11893916160.

The previous prime is 45488157467. The next prime is 45488157503. The reversal of 45488157480 is 8475188454.

45488157480 is a `hidden beast` number, since 4 + 5 + 4 + 8 + 8 + 157 + 480 = 666.

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 47 ways as a sum of consecutive naturals, for example, 8939497 + ... + 8944583.

It is an arithmetic number, because the mean of its divisors is an integer number (785046600).

Almost surely, 245488157480 is an apocalyptic number.

45488157480 is a gapful number since it is divisible by the number (40) 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 45488157480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75364473600).

45488157480 is an abundant number, since it is smaller than the sum of its proper divisors (105240789720).

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

45488157480 is a wasteful number, since it uses less digits than its factorization.

45488157480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 45488157480 in words is "forty-five billion, four hundred eighty-eight million, one hundred fifty-seven thousand, four hundred eighty".