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213628565961 = 32179791142607
BaseRepresentation
bin1100011011110101000…
…0010011100111001001
3202102102010211120100200
43012331100103213021
512000002403102321
6242050053322413
721301625564316
oct3067520234711
9672363746320
10213628565961
1182665835558
123549b936409
13171b69abaa5
14a4a810bd0d
155854b87d26
hex31bd4139c9

213628565961 has 24 divisors (see below), whose sum is σ = 326761703424. Its totient is φ = 134026823040.

The previous prime is 213628565959. The next prime is 213628566013. The reversal of 213628565961 is 169565826312.

213628565961 is a `hidden beast` number, since 2 + 1 + 3 + 628 + 5 + 6 + 5 + 9 + 6 + 1 = 666.

213628565961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213628565961 - 21 = 213628565959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213628565898 and 213628565907.

It is not an unprimeable number, because it can be changed into a prime (213628565951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426720 + ... + 1569326.

It is an arithmetic number, because the mean of its divisors is an integer number (13615070976).

Almost surely, 2213628565961 is an apocalyptic number.

It is an amenable number.

213628565961 is a deficient number, since it is larger than the sum of its proper divisors (113133137463).

213628565961 is a wasteful number, since it uses less digits than its factorization.

213628565961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152421 (or 152418 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 213628565961 in words is "two hundred thirteen billion, six hundred twenty-eight million, five hundred sixty-five thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 51 153 9791 29373 88119 142607 166447 427821 499341 1283463 1498023 2424319 7272957 21818871 1396265137 4188795411 12566386233 23736507329 71209521987 213628565961