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45282563209 = 132163692
BaseRepresentation
bin101010001011000011…
…010001010010001001
311022212211010112220201
4222023003101102021
51220214314010314
632445202252201
73162100302502
oct521303212211
9138784115821
1045282563209
111822790aa64
128939057061
134368615400
142297dc3ba9
1512a0655b74
hexa8b0d1489

45282563209 has 9 divisors (see below), whose sum is σ = 49036777173. Its totient is φ = 41796735552.

The previous prime is 45282563203. The next prime is 45282563267. The reversal of 45282563209 is 90236528254.

The square root of 45282563209 is 212797.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13659765625 + 31622797584 = 116875^2 + 177828^2 .

It is not a de Polignac number, because 45282563209 - 29 = 45282562697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45282563203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2758177 + ... + 2774545.

It is an arithmetic number, because the mean of its divisors is an integer number (5448530797).

Almost surely, 245282563209 is an apocalyptic number.

45282563209 is the 212797-th square number.

45282563209 is the 106399-th centered octagonal number.

It is an amenable number.

45282563209 is a deficient number, since it is larger than the sum of its proper divisors (3754213964).

45282563209 is an frugal number, since it uses more digits than its factorization.

45282563209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32764 (or 16382 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 45282563209 in words is "forty-five billion, two hundred eighty-two million, five hundred sixty-three thousand, two hundred nine".

Divisors: 1 13 169 16369 212797 2766361 267944161 3483274093 45282563209