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45131809257 = 334783349477
BaseRepresentation
bin101010000010000100…
…001100000111101001
311022111022110110101000
4222002010030013221
51214412220344012
632422215145213
73155260022553
oct520204140751
9138438413330
1045131809257
111815a803317
1288b6675209
1343433112a2
142281d804d3
1512922c7ddc
hexa8210c1e9

45131809257 has 16 divisors (see below), whose sum is σ = 66876110080. Its totient is φ = 30081496176.

The previous prime is 45131809249. The next prime is 45131809291. The reversal of 45131809257 is 75290813154.

45131809257 is a `hidden beast` number, since 4 + 513 + 1 + 80 + 9 + 2 + 57 = 666.

It is not a de Polignac number, because 45131809257 - 23 = 45131809249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45131808257) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45598 + ... + 303879.

It is an arithmetic number, because the mean of its divisors is an integer number (4179756880).

Almost surely, 245131809257 is an apocalyptic number.

It is an amenable number.

45131809257 is a deficient number, since it is larger than the sum of its proper divisors (21744300823).

45131809257 is a wasteful number, since it uses less digits than its factorization.

45131809257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354269 (or 354263 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 45131809257 in words is "forty-five billion, one hundred thirty-one million, eight hundred nine thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 4783 14349 43047 129141 349477 1048431 3145293 9435879 1671548491 5014645473 15043936419 45131809257