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11609045912025 = 32522271472
BaseRepresentation
bin1010100011101111000100…
…0011101100100111011001
31112002210222100222200021100
42220323301003230213121
53010200311223141100
640405042211102013
72305503660052602
oct250736103544731
945083870880240
1011609045912025
113776406852061
121375ab1ba1909
136629611b8313
142c1c48d82da9
15151ea0772400
hexa8ef10ec9d9

11609045912025 has 27 divisors (see below), whose sum is σ = 20793182663071. Its totient is φ = 6191463895440.

The previous prime is 11609045912017. The next prime is 11609045912047. The reversal of 11609045912025 is 52021954090611.

The square root of 11609045912025 is 3407205.

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

11609045912025 is a `hidden beast` number, since 1 + 1 + 609 + 0 + 4 + 5 + 9 + 12 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4179256528329 + 7429789383696 = 2044323^2 + 2725764^2 .

It is not a de Polignac number, because 11609045912025 - 23 = 11609045912017 is a prime.

It is a super-4 number, since 4×116090459120254 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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

It is a Duffinian 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, 50994502 + ... + 51221648.

Almost surely, 211609045912025 is an apocalyptic number.

11609045912025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11609045912025 is the 3407205-th square number.

11609045912025 is the 1703603-rd centered octagonal number.

It is an amenable number.

11609045912025 is a deficient number, since it is larger than the sum of its proper divisors (9184136751046).

11609045912025 is an frugal number, since it uses more digits than its factorization.

11609045912025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454310 (or 227155 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 11609045912025 in words is "eleven trillion, six hundred nine billion, forty-five million, nine hundred twelve thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 227147 681441 1135735 2044323 3407205 5678675 10221615 17036025 51108075 51595759609 154787278827 257978798045 464361836481 773936394135 1289893990225 2321809182405 3869681970675 11609045912025