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13211893249 = 13728392
BaseRepresentation
bin11000100110111110…
…10111111000000001
31021002202111201100121
430103133113320001
5204024221040444
610023000420241
7645255145132
oct142337277001
937082451317
1013211893249
11566a850a45
122688777681
131327261519
148d4965c89
15524d5a084
hex3137d7e01

13211893249 has 9 divisors (see below), whose sum is σ = 13324916227. Its totient is φ = 13099823824.

The previous prime is 13211893231. The next prime is 13211893267. The reversal of 13211893249 is 94239811231.

The square root of 13211893249 is 114943.

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

It is an interprime number because it is at equal distance from previous prime (13211893231) and next prime (13211893267).

It can be written as a sum of positive squares in only one way, i.e., 7760729025 + 5451164224 = 88095^2 + 73832^2 .

It is not a de Polignac number, because 13211893249 - 211 = 13211891201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13211893049) 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, 15746772 + ... + 15747610.

Almost surely, 213211893249 is an apocalyptic number.

13211893249 is the 114943-rd square number.

13211893249 is the 57472-nd centered octagonal number.

It is an amenable number.

13211893249 is a deficient number, since it is larger than the sum of its proper divisors (113022978).

13211893249 is an frugal number, since it uses more digits than its factorization.

13211893249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 976 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The spelling of 13211893249 in words is "thirteen billion, two hundred eleven million, eight hundred ninety-three thousand, two hundred forty-nine".

Divisors: 1 137 839 18769 114943 703921 15747191 96437177 13211893249