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45013138569 = 3272101032
BaseRepresentation
bin101001111010111111…
…011111110010001001
311022012001011100210100
4221322333133302021
51214141330413234
632402335440013
73152316236100
oct517277376211
9138161140710
1045013138569
11180a981a273
128882986009
134324861449
1422702cd037
151286b86399
hexa7afdfc89

45013138569 has 27 divisors (see below), whose sum is σ = 75641808333. Its totient is φ = 25719247512.

The previous prime is 45013138529. The next prime is 45013138603. The reversal of 45013138569 is 96583131054.

The square root of 45013138569 is 212163.

It is a perfect power (a square), and thus also a powerful number.

45013138569 is a `hidden beast` number, since 4 + 50 + 1 + 3 + 1 + 38 + 569 = 666.

It is not a de Polignac number, because 45013138569 - 227 = 44878920841 is a prime.

It is a super-2 number, since 2×450131385692 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45013138519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4450372 + ... + 4460474.

Almost surely, 245013138569 is an apocalyptic number.

45013138569 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45013138569 is the 212163-rd square number.

45013138569 is the 106082-nd centered octagonal number.

It is an amenable number.

45013138569 is a deficient number, since it is larger than the sum of its proper divisors (30628669764).

45013138569 is an frugal number, since it uses more digits than its factorization.

45013138569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20226 (or 10113 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 45013138569 in words is "forty-five billion, thirteen million, one hundred thirty-eight thousand, five hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 10103 30309 70721 90927 212163 495047 636489 1485141 4455423 102070609 306211827 714494263 918635481 2143482789 5001459841 6430448367 15004379523 45013138569