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45193468149 = 3237313462457
BaseRepresentation
bin101010000101101111…
…011001100011110101
311022122121111001110200
4222011233121203311
51220024011440044
632432300511113
73156636066234
oct520557314365
9138577431420
1045193468149
1118191597585
12891324b499
13435301c33b
14228a230b1b
151297907369
hexa85bd98f5

45193468149 has 12 divisors (see below), whose sum is σ = 65454470796. Its totient is φ = 30048201792.

The previous prime is 45193468121. The next prime is 45193468193. The reversal of 45193468149 is 94186439154.

45193468149 is a `hidden beast` number, since 4 + 51 + 93 + 468 + 1 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37083204900 + 8110263249 = 192570^2 + 90057^2 .

It is not a de Polignac number, because 45193468149 - 215 = 45193435381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45193468095 and 45193468104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45193468349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6727872 + ... + 6734585.

It is an arithmetic number, because the mean of its divisors is an integer number (5454539233).

Almost surely, 245193468149 is an apocalyptic number.

It is an amenable number.

45193468149 is a deficient number, since it is larger than the sum of its proper divisors (20261002647).

45193468149 is a wasteful number, since it uses less digits than its factorization.

45193468149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13462836 (or 13462833 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 45193468149 in words is "forty-five billion, one hundred ninety-three million, four hundred sixty-eight thousand, one hundred forty-nine".

Divisors: 1 3 9 373 1119 3357 13462457 40387371 121162113 5021496461 15064489383 45193468149