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45261286009 = 79226932
BaseRepresentation
bin101010001001110010…
…000110101001111001
311022211100002120002021
4222021302012221321
51220143342123014
632443122234441
73161421404032
oct521162065171
9138740076067
1045261286009
11182168a80a5
128931ab5a21
1343640a5854
142295245a89
15129d851624
hexa89c86a79

45261286009 has 9 divisors (see below), whose sum is σ = 45858494703. Its totient is φ = 44671764072.

The previous prime is 45261286003. The next prime is 45261286039. The reversal of 45261286009 is 90068216254.

The square root of 45261286009 is 212747.

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

It can be written as a sum of positive squares in only one way, i.e., 18570875625 + 26690410384 = 136275^2 + 163372^2 .

It is not a de Polignac number, because 45261286009 - 29 = 45261285497 is a prime.

It is a super-2 number, since 2×452612860092 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45261286003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16805667 + ... + 16808359.

Almost surely, 245261286009 is an apocalyptic number.

45261286009 is the 212747-th square number.

45261286009 is the 106374-th centered octagonal number.

It is an amenable number.

45261286009 is a deficient number, since it is larger than the sum of its proper divisors (597208694).

45261286009 is an frugal number, since it uses more digits than its factorization.

45261286009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 45261286009 in words is "forty-five billion, two hundred sixty-one million, two hundred eighty-six thousand, nine".

Divisors: 1 79 2693 6241 212747 7252249 16807013 572927671 45261286009