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13663272100 = 2252116892
BaseRepresentation
bin11001011100110010…
…01111110010100100
31022021012212010201211
430232121033302210
5210440244201400
610135443201204
7662405616352
oct145631176244
938235763654
1013663272100
115881619615
122793976204
1313999219ba
149388a27d2
1554e7bbdba
hex32e64fca4

13663272100 has 27 divisors (see below), whose sum is σ = 29651837187. Its totient is φ = 5464841280.

The previous prime is 13663272089. The next prime is 13663272101. The reversal of 13663272100 is 127236631.

The square root of 13663272100 is 116890.

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 3744705636 + 9918566464 = 61194^2 + 99592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13663272101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1163056 + ... + 1174744.

Almost surely, 213663272100 is an apocalyptic number.

13663272100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13663272100 is the 116890-th square number.

It is an amenable number.

13663272100 is an abundant number, since it is smaller than the sum of its proper divisors (15988565087).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13663272100 is an frugal number, since it uses more digits than its factorization.

13663272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23392 (or 11696 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 13663272100 in words is "thirteen billion, six hundred sixty-three million, two hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11689 23378 46756 58445 116890 233780 292225 584450 1168900 136632721 273265442 546530884 683163605 1366327210 2732654420 3415818025 6831636050 13663272100