Search a number
-
+
45724056816 = 243952584517
BaseRepresentation
bin101010100101010111…
…011011110011110000
311101000120212202021210
4222211113123303300
51222120324304231
633001053120120
73206041033044
oct524527336360
9141016782253
1045724056816
1118434046709
128a40a89040
134408c24329
1422da8aa024
1512c92b3a46
hexaa55dbcf0

45724056816 has 20 divisors (see below), whose sum is σ = 118120480232. Its totient is φ = 15241352256.

The previous prime is 45724056799. The next prime is 45724056913. The reversal of 45724056816 is 61865042754.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 952584517 = 45724056816 / (4 + 5 + 7 + 2 + 4 + 0 + 5 + 6 + 8 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 476292211 + ... + 476292306.

Almost surely, 245724056816 is an apocalyptic number.

It is an amenable number.

45724056816 is an abundant number, since it is smaller than the sum of its proper divisors (72396423416).

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

45724056816 is a wasteful number, since it uses less digits than its factorization.

45724056816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952584528 (or 952584522 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 45724056816 in words is "forty-five billion, seven hundred twenty-four million, fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 952584517 1905169034 2857753551 3810338068 5715507102 7620676136 11431014204 15241352272 22862028408 45724056816