Search a number
-
+
45894527424 = 26371312503
BaseRepresentation
bin101010101111100001…
…101110100111000000
311101110110122120000000
4222233201232213000
51222442444334144
633030023000000
73213211021644
oct525741564700
9141413576000
1045894527424
111851129a809
128a89b99000
13443533c905
1423153a2c24
1512d9238769
hexaaf86e9c0

45894527424 has 224 divisors, whose sum is σ = 137684743680. Its totient is φ = 15175330560.

The previous prime is 45894527401. The next prime is 45894527431. The reversal of 45894527424 is 42472549854.

45894527424 is a `hidden beast` number, since 4 + 5 + 8 + 94 + 527 + 4 + 24 = 666.

45894527424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18334557 + ... + 18337059.

Almost surely, 245894527424 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 45894527424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68842371840).

45894527424 is an abundant number, since it is smaller than the sum of its proper divisors (91790216256).

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

45894527424 is an equidigital number, since it uses as much as digits as its factorization.

45894527424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2639 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 45894527424 in words is "forty-five billion, eight hundred ninety-four million, five hundred twenty-seven thousand, four hundred twenty-four".