Search a number
-
+
889182991225 = 52103218312
BaseRepresentation
bin11001111000001110110…
…11111011001101111001
310011000010200200002202201
430330013123323031321
5104032021321204400
61520252433230201
7121145532501544
oct14740733731571
93130120602681
10889182991225
11313111688021
121243b5702361
1365b07741cb9
143107294b85b
15181e2a8706a
hexcf076fb379

889182991225 has 27 divisors (see below), whose sum is σ = 1114003978479. Its totient is φ = 704055387600.

The previous prime is 889182991201. The next prime is 889182991241. The reversal of 889182991225 is 522199281988.

The square root of 889182991225 is 942965.

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., 320105876841 + 569077114384 = 565779^2 + 754372^2 .

It is not a de Polignac number, because 889182991225 - 27 = 889182991097 is a prime.

It is a super-3 number, since 3×8891829912253 (a number of 37 digits) contains 333 as substring.

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, 485626060 + ... + 485627890.

Almost surely, 2889182991225 is an apocalyptic number.

889182991225 is the 942965-th square number.

889182991225 is the 471483-rd centered octagonal number.

It is an amenable number.

889182991225 is a deficient number, since it is larger than the sum of its proper divisors (224820987254).

889182991225 is an frugal number, since it uses more digits than its factorization.

889182991225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 1939 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 64.

Multiplying 889182991225 by its sum of digits (64), we get a square (56907711438400 = 75437202).

The spelling of 889182991225 in words is "eight hundred eighty-nine billion, one hundred eighty-two million, nine hundred ninety-one thousand, two hundred twenty-five".

Divisors: 1 5 25 103 515 1831 2575 9155 10609 45775 53045 188593 265225 942965 3352561 4714825 16762805 19425079 83814025 97125395 345313783 485626975 1726568915 8632844575 35567319649 177836598245 889182991225