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32406120289 = 31258072
BaseRepresentation
bin11110001011100011…
…100010011101100001
310002122102211110220101
4132023203202131201
51012331431322124
622515343342401
72225024322544
oct361343423541
9102572743811
1032406120289
111281a4568a4
1263448b1a01
133095a1470a
1417d5c1c85b
15c99ead644
hex78b8e2761

32406120289 has 9 divisors (see below), whose sum is σ = 33490967601. Its totient is φ = 31355361060.

The previous prime is 32406120269. The next prime is 32406120311. The reversal of 32406120289 is 98202160423.

It is a happy number.

The square root of 32406120289 is 180017.

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

It is not a de Polignac number, because 32406120289 - 221 = 32404023137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32406120269) 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, 5577624 + ... + 5583430.

Almost surely, 232406120289 is an apocalyptic number.

32406120289 is the 180017-th square number.

32406120289 is the 90009-th centered octagonal number.

It is an amenable number.

32406120289 is a deficient number, since it is larger than the sum of its proper divisors (1084847312).

32406120289 is an frugal number, since it uses more digits than its factorization.

32406120289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11676 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 32406120289 in words is "thirty-two billion, four hundred six million, one hundred twenty thousand, two hundred eighty-nine".

Divisors: 1 31 961 5807 180017 5580527 33721249 1045358719 32406120289