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13420064025 = 325277232
BaseRepresentation
bin11000111111110010…
…11110110100011001
31021122021012212222100
430133321132310121
5204441014022100
610055354314013
7653363443044
oct143771366431
937567185870
1013420064025
115767304805
122726428909
13135b4198b4
14914473c5b
1553827a400
hex31fe5ed19

13420064025 has 27 divisors (see below), whose sum is σ = 24039938559. Its totient is φ = 7156440720.

The previous prime is 13420063991. The next prime is 13420064039. The reversal of 13420064025 is 52046002431.

The square root of 13420064025 is 115845.

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

13420064025 is a `hidden beast` number, since 13 + 4 + 2 + 0 + 0 + 640 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4831223049 + 8588840976 = 69507^2 + 92676^2 .

It is not a de Polignac number, because 13420064025 - 29 = 13420063513 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13420064025.

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, 1733814 + ... + 1741536.

Almost surely, 213420064025 is an apocalyptic number.

13420064025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13420064025 is the 115845-th square number.

13420064025 is the 57923-rd centered octagonal number.

It is an amenable number.

13420064025 is a deficient number, since it is larger than the sum of its proper divisors (10619874534).

13420064025 is an frugal number, since it uses more digits than its factorization.

13420064025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15462 (or 7731 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13420064025 its reverse (52046002431), we get a palindrome (65466066456).

The spelling of 13420064025 in words is "thirteen billion, four hundred twenty million, sixty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 7723 23169 38615 69507 115845 193075 347535 579225 1737675 59644729 178934187 298223645 536802561 894670935 1491118225 2684012805 4473354675 13420064025