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11971642225 = 527922772
BaseRepresentation
bin10110010011001000…
…01100001101110001
31010220022202102210111
423021210030031301
5144004220022400
65255533501321
7602445165004
oct131144141561
933808672714
1011971642225
115093752aa4
1223a1341841
13118a31618a
14817d5953b
154a101d3ba
hex2c990c371

11971642225 has 27 divisors (see below), whose sum is σ = 15089598657. Its totient is φ = 9421944480.

The previous prime is 11971642219. The next prime is 11971642237. The reversal of 11971642225 is 52224617911.

The square root of 11971642225 is 109415.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2743350129 + 9228292096 = 52377^2 + 96064^2 .

It is a de Polignac number, because none of the positive numbers 2k-11971642225 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, 43218787 + ... + 43219063.

Almost surely, 211971642225 is an apocalyptic number.

11971642225 is the 109415-th square number.

11971642225 is the 54708-th centered octagonal number.

It is an amenable number.

11971642225 is a deficient number, since it is larger than the sum of its proper divisors (3117956432).

11971642225 is an frugal number, since it uses more digits than its factorization.

11971642225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 361 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The spelling of 11971642225 in words is "eleven billion, nine hundred seventy-one million, six hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 79 277 395 1385 1975 6241 6925 21883 31205 76729 109415 156025 383645 547075 1728757 1918225 6061591 8643785 30307955 43218925 151539775 478865689 2394328445 11971642225