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211164361337 = 375801398377
BaseRepresentation
bin1100010010101001100…
…0000111001001111001
3202012001102000000002202
43010222120013021321
511424431034030322
6241001345035545
721153564312266
oct3045230071171
9665042000082
10211164361337
1181610860106
1234b12625bb5
1316bb3303447
14a312b3826d
15575d67d292
hex312a607279

211164361337 has 8 divisors (see below), whose sum is σ = 216877449096. Its totient is φ = 205451586432.

The previous prime is 211164361319. The next prime is 211164361339. The reversal of 211164361337 is 733163461112.

It can be written as a sum of positive squares in 4 ways, for example, as 99462021376 + 111702339961 = 315376^2 + 334219^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211164361337 - 28 = 211164361081 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211164361337.

It is not an unprimeable number, because it can be changed into a prime (211164361339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2097293 + ... + 2195669.

It is an arithmetic number, because the mean of its divisors is an integer number (27109681137).

Almost surely, 2211164361337 is an apocalyptic number.

It is an amenable number.

211164361337 is a deficient number, since it is larger than the sum of its proper divisors (5713087759).

211164361337 is an equidigital number, since it uses as much as digits as its factorization.

211164361337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156427.

The product of its digits is 54432, while the sum is 38.

The spelling of 211164361337 in words is "two hundred eleven billion, one hundred sixty-four million, three hundred sixty-one thousand, three hundred thirty-seven".

Divisors: 1 37 58013 98377 2146481 3639949 5707144901 211164361337