Search a number
-
+
2580286430929 = 312518172
BaseRepresentation
bin100101100011000101000…
…011100101111011010001
3100010200011121010211120111
4211203011003211323101
5314233411311242204
65253211153041321
7354263621532544
oct45430503457321
910120147124514
102580286430929
11905325471139
123580b0856241
13159420c737bc
148cc5a8cc85b
15471bc30cd04
hex258c50e5ed1

2580286430929 has 9 divisors (see below), whose sum is σ = 2666257933851. Its totient is φ = 2497003194960.

The previous prime is 2580286430873. The next prime is 2580286430933. The reversal of 2580286430929 is 9290346820852.

The square root of 2580286430929 is 1606327.

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., 948413038225 + 1631873392704 = 973865^2 + 1277448^2 .

It is not a de Polignac number, because 2580286430929 - 221 = 2580284333777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2580286430999) 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, 49770229 + ... + 49822045.

It is an arithmetic number, because the mean of its divisors is an integer number (296250881539).

Almost surely, 22580286430929 is an apocalyptic number.

2580286430929 is the 1606327-th square number.

2580286430929 is the 803164-th centered octagonal number.

It is an amenable number.

2580286430929 is a deficient number, since it is larger than the sum of its proper divisors (85971502922).

2580286430929 is an frugal number, since it uses more digits than its factorization.

2580286430929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103696 (or 51848 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 2580286430929 in words is "two trillion, five hundred eighty billion, two hundred eighty-six million, four hundred thirty thousand, nine hundred twenty-nine".

Divisors: 1 31 961 51817 1606327 49796137 2685001489 83235046159 2580286430929