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13863414049 = 19261972
BaseRepresentation
bin11001110100101001…
…01110100100100001
31022210011110101212121
430322110232210201
5211343013222144
610211353024241
71000356034522
oct147224564441
938704411777
1013863414049
115974599191
12282a9b5081
1313cc2287a4
149572c0849
15562153384
hex33a52e921

13863414049 has 9 divisors (see below), whose sum is σ = 14633831667. Its totient is φ = 13131641304.

The previous prime is 13863414029. The next prime is 13863414053. The reversal of 13863414049 is 94041436831.

The square root of 13863414049 is 117743.

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

It can be written as a sum of positive squares in only one way, i.e., 5448654225 + 8414759824 = 73815^2 + 91732^2 .

It is not a de Polignac number, because 13863414049 - 25 = 13863414017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13863413996 and 13863414014.

It is not an unprimeable number, because it can be changed into a prime (13863414029) 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, 2234019 + ... + 2240215.

Almost surely, 213863414049 is an apocalyptic number.

13863414049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13863414049 is the 117743-rd square number.

13863414049 is the 58872-nd centered octagonal number.

It is an amenable number.

13863414049 is a deficient number, since it is larger than the sum of its proper divisors (770417618).

13863414049 is an frugal number, since it uses more digits than its factorization.

13863414049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12432 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 13863414049 in words is "thirteen billion, eight hundred sixty-three million, four hundred fourteen thousand, forty-nine".

Divisors: 1 19 361 6197 117743 2237117 38402809 729653371 13863414049