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11982586225 = 52218932
BaseRepresentation
bin10110010100011011…
…11100000101110001
31010221002100110010211
423022031330011301
5144020020224400
65301004224121
7602640205501
oct131215740561
933832313124
1011982586225
115099948425
1223a4b3b041
13118c67860c
148195a7a01
154a1e80dba
hex2ca37c171

11982586225 has 9 divisors (see below), whose sum is σ = 14859085633. Its totient is φ = 9585631120.

The previous prime is 11982586211. The next prime is 11982586229. The reversal of 11982586225 is 52268528911.

The square root of 11982586225 is 109465.

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

11982586225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 183412849 + 11799173376 = 13543^2 + 108624^2 .

It is not a de Polignac number, because 11982586225 - 223 = 11974197617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11982586229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 536379 + ... + 558271.

Almost surely, 211982586225 is an apocalyptic number.

11982586225 is the 109465-th square number.

11982586225 is the 54733-rd centered octagonal number.

It is an amenable number.

11982586225 is a deficient number, since it is larger than the sum of its proper divisors (2876499408).

11982586225 is an frugal number, since it uses more digits than its factorization.

11982586225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43796 (or 21898 counting only the distinct ones).

The product of its digits is 691200, while the sum is 49.

Multiplying 11982586225 by its sum of digits (49), we get a square (587146725025 = 7662552).

The spelling of 11982586225 in words is "eleven billion, nine hundred eighty-two million, five hundred eighty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 21893 109465 547325 479303449 2396517245 11982586225