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45125011044 = 22328914083961
BaseRepresentation
bin101010000001101010…
…010000011001100100
311022110211200001222100
4222001222100121210
51214404000323134
632421413332100
73155145156651
oct520152203144
9138424601870
1045125011044
111815698a763
1288b4337030
134341aa0b89
1422810d0c28
1512918d3999
hexa81a90664

45125011044 has 36 divisors (see below), whose sum is σ = 115347648780. Its totient is φ = 14872661760.

The previous prime is 45125011033. The next prime is 45125011067. The reversal of 45125011044 is 44011052154.

45125011044 is a `hidden beast` number, since 4 + 51 + 2 + 501 + 104 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6441988644 + 38683022400 = 80262^2 + 196680^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×451250110442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45125010999 and 45125011017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7038777 + ... + 7045184.

It is an arithmetic number, because the mean of its divisors is an integer number (3204101355).

Almost surely, 245125011044 is an apocalyptic number.

It is an amenable number.

45125011044 is an abundant number, since it is smaller than the sum of its proper divisors (70222637736).

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

45125011044 is a wasteful number, since it uses less digits than its factorization.

45125011044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14084060 (or 14084055 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 45125011044 its reverse (44011052154), we get a palindrome (89136063198).

The spelling of 45125011044 in words is "forty-five billion, one hundred twenty-five million, eleven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 14083961 28167922 42251883 56335844 84503766 126755649 169007532 253511298 507022596 1253472529 2506945058 3760417587 5013890116 7520835174 11281252761 15041670348 22562505522 45125011044