Search a number
-
+
11486303831025 = 32522259432
BaseRepresentation
bin1010011100100101110100…
…0011110100001111110001
31111200002011021002220210100
42213021131003310033301
53001142422240043100
640232422442223013
72263600213431132
oct247113503641761
944602137086710
1011486303831025
1137293500799a1
121356157ab4a69
136541ccba271a
142b9d237b1c89
1514dbb9bc3400
hexa725d0f43f1

11486303831025 has 27 divisors (see below), whose sum is σ = 20573337472779. Its totient is φ = 6126001596720.

The previous prime is 11486303831017. The next prime is 11486303831047. The reversal of 11486303831025 is 52013830368411.

It is a happy number.

The square root of 11486303831025 is 3389145.

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

11486303831025 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 6 + 303 + 8 + 310 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4135069379169 + 7351234451856 = 2033487^2 + 2711316^2 .

It is not a de Polignac number, because 11486303831025 - 23 = 11486303831017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50724204 + ... + 50950146.

Almost surely, 211486303831025 is an apocalyptic number.

11486303831025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11486303831025 is the 3389145-th square number.

11486303831025 is the 1694573-rd centered octagonal number.

It is an amenable number.

11486303831025 is a deficient number, since it is larger than the sum of its proper divisors (9087033641754).

11486303831025 is an frugal number, since it uses more digits than its factorization.

11486303831025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451902 (or 225951 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11486303831025 in words is "eleven trillion, four hundred eighty-six billion, three hundred three million, eight hundred thirty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 225943 677829 1129715 2033487 3389145 5648575 10167435 16945725 50837175 51050239249 153150717747 255251196245 459452153241 765753588735 1276255981225 2297260766205 3828767943675 11486303831025