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13662103225 = 529722412
BaseRepresentation
bin11001011100101001…
…10010011010111001
31022021010122202100011
430232110302122321
5210434444300400
610135402141521
7662362650511
oct145624623271
938233582304
1013662103225
1158809a0401
1227934b18a1
131399602964
1493867a841
1554e63a8ba
hex32e5326b9

13662103225 has 27 divisors (see below), whose sum is σ = 17188779591. Its totient is φ = 10772121600.

The previous prime is 13662103223. The next prime is 13662103291. The reversal of 13662103225 is 52230126631.

It is a happy number.

The square root of 13662103225 is 116885.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5860974249 + 7801128976 = 76557^2 + 88324^2 .

It is not a de Polignac number, because 13662103225 - 21 = 13662103223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13662103223) 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, 56689105 + ... + 56689345.

Almost surely, 213662103225 is an apocalyptic number.

13662103225 is the 116885-th square number.

13662103225 is the 58443-rd centered octagonal number.

It is an amenable number.

13662103225 is a deficient number, since it is larger than the sum of its proper divisors (3526676366).

13662103225 is an frugal number, since it uses more digits than its factorization.

13662103225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 13662103225 its reverse (52230126631), we get a palindrome (65892229856).

The spelling of 13662103225 in words is "thirteen billion, six hundred sixty-two million, one hundred three thousand, two hundred twenty-five".

Divisors: 1 5 25 97 241 485 1205 2425 6025 9409 23377 47045 58081 116885 235225 290405 584425 1452025 2267569 5633857 11337845 28169285 56689225 140846425 546484129 2732420645 13662103225