Search a number
-
+
45724976544 = 2531336638603
BaseRepresentation
bin101010100101011010…
…111100010110100000
311101000122121110220210
4222211122330112200
51222121043222134
633001124534120
73206051613342
oct524532742640
9141018543823
1045724976544
1118434614715
128a41251340
134409186b50
1422daa69292
1512c93e62e9
hexaa56bc5a0

45724976544 has 48 divisors (see below), whose sum is σ = 129260994912. Its totient is φ = 14069223168.

The previous prime is 45724976543. The next prime is 45724976587. The reversal of 45724976544 is 44567942754.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (45724976543) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18318054 + ... + 18320549.

It is an arithmetic number, because the mean of its divisors is an integer number (2692937394).

Almost surely, 245724976544 is an apocalyptic number.

It is an amenable number.

45724976544 is an abundant number, since it is smaller than the sum of its proper divisors (83536018368).

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

45724976544 is a wasteful number, since it uses less digits than its factorization.

45724976544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36638629 (or 36638621 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 57.

The spelling of 45724976544 in words is "forty-five billion, seven hundred twenty-four million, nine hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 36638603 73277206 109915809 146554412 219831618 293108824 439663236 476301839 586217648 879326472 952603678 1172435296 1428905517 1758652944 1905207356 2857811034 3517305888 3810414712 5715622068 7620829424 11431244136 15241658848 22862488272 45724976544