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13645744225 = 526123832
BaseRepresentation
bin11001011010101100…
…11000100001100001
31022012222212122000021
430231112120201201
5210421302303400
610134015353441
7662103624601
oct145526304141
938188778007
1013645744225
115872737673
122789b22881
1313960c5889
1493641cc01
1554cea871a
hex32d598861

13645744225 has 27 divisors (see below), whose sum is σ = 17247691929. Its totient is φ = 10709599200.

The previous prime is 13645744223. The next prime is 13645744243. The reversal of 13645744225 is 52244754631.

The square root of 13645744225 is 116815.

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 6285476961 + 7360267264 = 79281^2 + 85792^2 .

It is not a de Polignac number, because 13645744225 - 21 = 13645744223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13645744223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35628384 + ... + 35628766.

Almost surely, 213645744225 is an apocalyptic number.

13645744225 is the 116815-th square number.

13645744225 is the 58408-th centered octagonal number.

It is an amenable number.

13645744225 is a deficient number, since it is larger than the sum of its proper divisors (3601947704).

13645744225 is an frugal number, since it uses more digits than its factorization.

13645744225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 449 counting only the distinct ones).

The product of its digits is 806400, while the sum is 43.

The spelling of 13645744225 in words is "thirteen billion, six hundred forty-five million, seven hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 61 305 383 1525 1915 3721 9575 18605 23363 93025 116815 146689 584075 733445 1425143 3667225 7125715 8948029 35628575 44740145 223700725 545829769 2729148845 13645744225