Search a number
-
+
45550024000 = 2653131632687
BaseRepresentation
bin101010011010111111…
…100011010101000000
311100120110101222010221
4222122333203111000
51221241301232000
632531515032424
73201525546535
oct523277432500
9140513358127
1045550024000
111835488a238
1289b273b714
1343abb5c530
1422c1726d8c
1512b8d8861a
hexa9afe3540

45550024000 has 224 divisors, whose sum is σ = 122272690176. Its totient is φ = 16709068800.

The previous prime is 45550023997. The next prime is 45550024019. The reversal of 45550024000 is 42005554.

45550024000 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 (25).

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, 16950657 + ... + 16953343.

It is an arithmetic number, because the mean of its divisors is an integer number (545860224).

Almost surely, 245550024000 is an apocalyptic number.

45550024000 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 45550024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61136345088).

45550024000 is an abundant number, since it is smaller than the sum of its proper divisors (76722666176).

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

45550024000 is a wasteful number, since it uses less digits than its factorization.

45550024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

Adding to 45550024000 its reverse (42005554), we get a palindrome (45592029554).

The spelling of 45550024000 in words is "forty-five billion, five hundred fifty million, twenty-four thousand".