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32505565849 = 29262172
BaseRepresentation
bin11110010001011110…
…111001001010011001
310002220100221211120021
4132101132321022121
51013032411101344
622533255030441
72230342515361
oct362136711231
9102810854507
1032505565849
11128705a9809
12637206b421
1330b04c2a43
1418051079a1
15ca3aa3b84
hex7917b9299

32505565849 has 9 divisors (see below), whose sum is σ = 33670514397. Its totient is φ = 31379636064.

The previous prime is 32505565823. The next prime is 32505565891. The reversal of 32505565849 is 94856550523.

It is a happy number.

The square root of 32505565849 is 180293.

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 2322758025 + 30182807824 = 48195^2 + 173732^2 .

It is not a de Polignac number, because 32505565849 - 219 = 32505041561 is a prime.

It is a super-2 number, since 2×325055658492 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32505565796 and 32505565805.

It is not an unprimeable number, because it can be changed into a prime (32505569849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5225389 + ... + 5231605.

Almost surely, 232505565849 is an apocalyptic number.

32505565849 is the 180293-rd square number.

32505565849 is the 90147-th centered octagonal number.

It is an amenable number.

32505565849 is a deficient number, since it is larger than the sum of its proper divisors (1164948548).

32505565849 is an frugal number, since it uses more digits than its factorization.

32505565849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12492 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 52.

The spelling of 32505565849 in words is "thirty-two billion, five hundred five million, five hundred sixty-five thousand, eight hundred forty-nine".

Divisors: 1 29 841 6217 180293 5228497 38651089 1120881581 32505565849