Search a number
-
+
11889290167225 = 52151245672
BaseRepresentation
bin1010110100000011000011…
…1010101100001110111001
31120002121100001222212220121
42231000300322230032321
53024243231240322400
641141510422053241
72334654456655522
oct255006072541671
946077301885817
1011889290167225
113874246389939
12140028327a221
1368320311cbb3
142d1632421849
1515940386221a
hexad030eac3b9

11889290167225 has 27 divisors (see below), whose sum is σ = 14844250623951. Its totient is φ = 9446373666000.

The previous prime is 11889290167207. The next prime is 11889290167291. The reversal of 11889290167225 is 52276109298811.

The square root of 11889290167225 is 3448085.

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., 4280144460201 + 7609145707024 = 2068851^2 + 2758468^2 .

It is not a de Polignac number, because 11889290167225 - 233 = 11880700232633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2603301892 + ... + 2603306458.

Almost surely, 211889290167225 is an apocalyptic number.

11889290167225 is the 3448085-th square number.

11889290167225 is the 1724043-rd centered octagonal number.

It is an amenable number.

11889290167225 is a deficient number, since it is larger than the sum of its proper divisors (2954960456726).

11889290167225 is an frugal number, since it uses more digits than its factorization.

11889290167225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9446 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 61.

The spelling of 11889290167225 in words is "eleven trillion, eight hundred eighty-nine billion, two hundred ninety million, one hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 151 755 3775 4567 22801 22835 114005 114175 570025 689617 3448085 17240425 20857489 104132167 104287445 520660835 521437225 2603304175 3149480839 15747404195 78737020975 475571606689 2377858033445 11889290167225