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23338367361 = 32509232
BaseRepresentation
bin10101101111000100…
…110011100110000001
32020020111020220100100
4111233010303212001
5340244110223421
614415502113013
71454226564231
oct255704634601
966214226310
1023338367361
119996999911
124633b7b769
13227c20163a
1411b580bcc1
15918d9bc26
hex56f133981

23338367361 has 9 divisors (see below), whose sum is σ = 33711637089. Its totient is φ = 15558606036.

The previous prime is 23338367359. The next prime is 23338367369. The reversal of 23338367361 is 16376383332.

The square root of 23338367361 is 152769.

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

23338367361 is a `hidden beast` number, since 233 + 383 + 6 + 7 + 36 + 1 = 666.

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

It is not a de Polignac number, because 23338367361 - 21 = 23338367359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23338367369) 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 8 ways as a sum of consecutive naturals, for example, 432846 + ... + 483768.

Almost surely, 223338367361 is an apocalyptic number.

23338367361 is the 152769-th square number.

23338367361 is the 76385-th centered octagonal number.

It is an amenable number.

23338367361 is a deficient number, since it is larger than the sum of its proper divisors (10373269728).

23338367361 is an frugal number, since it uses more digits than its factorization.

23338367361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101852 (or 50926 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The spelling of 23338367361 in words is "twenty-three billion, three hundred thirty-eight million, three hundred sixty-seven thousand, three hundred sixty-one".

Divisors: 1 3 9 50923 152769 458307 2593151929 7779455787 23338367361