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45111106625 = 531326173461
BaseRepresentation
bin101010000000110101…
…001101110001000001
311022102212111122200212
4222000311031301001
51214341420403000
632420155323505
73154616036204
oct520065156101
9138385448625
1045111106625
111814a053102
1288ab750595
13433bc43100
14227d31193b
151290588c35
hexa80d4dc41

45111106625 has 48 divisors (see below), whose sum is σ = 61078902768. Its totient is φ = 33249216000.

The previous prime is 45111106591. The next prime is 45111106639. The reversal of 45111106625 is 52660111154.

It can be written as a sum of positive squares in 24 ways, for example, as 27264284161 + 17846822464 = 165119^2 + 133592^2 .

It is not a de Polignac number, because 45111106625 - 210 = 45111105601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45111106591 and 45111106600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13032395 + ... + 13035855.

It is an arithmetic number, because the mean of its divisors is an integer number (1272477141).

Almost surely, 245111106625 is an apocalyptic number.

It is an amenable number.

45111106625 is a deficient number, since it is larger than the sum of its proper divisors (15967796143).

45111106625 is a wasteful number, since it uses less digits than its factorization.

45111106625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

Adding to 45111106625 its reverse (52660111154), we get a palindrome (97771217779).

The spelling of 45111106625 in words is "forty-five billion, one hundred eleven million, one hundred six thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 617 845 1625 3085 3461 4225 8021 15425 17305 21125 40105 44993 77125 86525 104273 200525 224965 432625 521365 584909 1002625 1124825 2135437 2606825 2924545 5624125 10677185 13034125 14622725 27760681 53385925 73113625 138803405 266929625 360888853 694017025 1804444265 3470085125 9022221325 45111106625