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13215111849 = 345322412
BaseRepresentation
bin11000100111010111…
…01001101010101001
31021002222120020110000
430103223221222221
5204031032034344
610023153413213
7645324411612
oct142353515251
937088506400
1013215111849
11567164a145
12268986a209
131327b1a514
148d5162c09
15525293a69
hex313ae9aa9

13215111849 has 45 divisors (see below), whose sum is σ = 20204428629. Its totient is φ = 8607980160.

The previous prime is 13215111839. The next prime is 13215111853. The reversal of 13215111849 is 94811151231.

The square root of 13215111849 is 114957.

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

13215111849 is a `hidden beast` number, since 132 + 1 + 511 + 1 + 8 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2959904025 + 10255207824 = 54405^2 + 101268^2 .

It is not a de Polignac number, because 13215111849 - 217 = 13214980777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13215111809) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 54834369 + ... + 54834609.

Almost surely, 213215111849 is an apocalyptic number.

13215111849 is the 114957-th square number.

13215111849 is the 57479-th centered octagonal number.

It is an amenable number.

13215111849 is a deficient number, since it is larger than the sum of its proper divisors (6989316780).

13215111849 is an frugal number, since it uses more digits than its factorization.

13215111849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 297 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

Multiplying 13215111849 by its sum of digits (36), we get a square (475744026564 = 6897422).

The spelling of 13215111849 in words is "thirteen billion, two hundred fifteen million, one hundred eleven thousand, eight hundred forty-nine".

Divisors: 1 3 9 27 53 81 159 241 477 723 1431 2169 2809 4293 6507 8427 12773 19521 25281 38319 58081 75843 114957 174243 227529 344871 522729 676969 1034613 1568187 2030907 3078293 4704561 6092721 9234879 18278163 27704637 54834489 83113911 163149529 249341733 489448587 1468345761 4405037283 13215111849