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12358101889 = 72158812
BaseRepresentation
bin10111000001001100…
…11010101110000001
31011220020221121210101
423200212122232001
5200302133230024
65402141002401
7615150063400
oct134046325601
934806847711
1012358101889
11527190a951
12248a853401
13121c3c6633
148533d7637
154c4e09c44
hex2e099ab81

12358101889 has 9 divisors (see below), whose sum is σ = 14376656451. Its totient is φ = 10591991760.

The previous prime is 12358101887. The next prime is 12358101901. The reversal of 12358101889 is 98810185321.

The square root of 12358101889 is 111167.

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

It can be written as a sum of positive squares in only one way, i.e., 11574101889 + 784000000 = 107583^2 + 28000^2 .

It is not a de Polignac number, because 12358101889 - 21 = 12358101887 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12358101887) 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, 770229 + ... + 786109.

Almost surely, 212358101889 is an apocalyptic number.

12358101889 is the 111167-th square number.

12358101889 is the 55584-th centered octagonal number.

It is an amenable number.

12358101889 is a deficient number, since it is larger than the sum of its proper divisors (2018554562).

12358101889 is an frugal number, since it uses more digits than its factorization.

12358101889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31776 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The spelling of 12358101889 in words is "twelve billion, three hundred fifty-eight million, one hundred one thousand, eight hundred eighty-nine".

Divisors: 1 7 49 15881 111167 778169 252206161 1765443127 12358101889