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213953897428569 = 3248757212
BaseRepresentation
bin110000101001011100000110…
…000011011111011001011001
31001001112210101222102201121100
4300221130012003133121121
5211020410040220203234
62035013021422302013
763031442013414054
oct6051340603373131
91031483358381540
10213953897428569
116219937a371731
121bbb5847427909
13924c9c5a6075c
143ab95d1215a9b
1519b067285b399
hexc297060df659

213953897428569 has 9 divisors (see below), whose sum is σ = 309044581892319. Its totient is φ = 142635902364720.

The previous prime is 213953897428561. The next prime is 213953897428619. The reversal of 213953897428569 is 965824798359312.

The square root of 213953897428569 is 14627163.

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

213953897428569 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 5 + 3 + 8 + 9 + 7 + 42 + 8 + 569 = 666.

It can be written as a sum of positive squares in only one way, i.e., 207729870388569 + 6224027040000 = 14412837^2 + 2494800^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 213953897428569 - 23 = 213953897428561 is a prime.

It is a super-2 number, since 2×2139538974285692 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213953897428561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41443629 + ... + 46319349.

Almost surely, 2213953897428569 is an apocalyptic number.

213953897428569 is the 14627163-rd square number.

213953897428569 is the 7313582-nd centered octagonal number.

It is an amenable number.

213953897428569 is a deficient number, since it is larger than the sum of its proper divisors (95090684463750).

213953897428569 is an frugal number, since it uses more digits than its factorization.

213953897428569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9751448 (or 4875724 counting only the distinct ones).

The product of its digits is 7054387200, while the sum is 81.

The spelling of 213953897428569 in words is "two hundred thirteen trillion, nine hundred fifty-three billion, eight hundred ninety-seven million, four hundred twenty-eight thousand, five hundred sixty-nine".

Divisors: 1 3 9 4875721 14627163 43881489 23772655269841 71317965809523 213953897428569