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10813296169 = 1321924212
BaseRepresentation
bin10100001001000010…
…11100111000101001
31000220121010100201201
422010201130320221
5134121200434134
64544554244201
7531651333544
oct120441347051
930817110651
1010813296169
114649907505
122119426661
131034347300
1474818d85b
154344ae914
hex28485ce29

10813296169 has 27 divisors (see below), whose sum is σ = 12387197349. Its totient is φ = 9433700640.

The previous prime is 10813296077. The next prime is 10813296181. The reversal of 10813296169 is 96169231801.

The square root of 10813296169 is 103987.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8649930025 + 2163366144 = 93005^2 + 46512^2 .

It is not a de Polignac number, because 10813296169 - 27 = 10813296041 is a prime.

It is a super-2 number, since 2×108132961692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10813296269) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25684579 + ... + 25684999.

It is an arithmetic number, because the mean of its divisors is an integer number (458785087).

Almost surely, 210813296169 is an apocalyptic number.

10813296169 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10813296169 is the 103987-th square number.

10813296169 is the 51994-th centered octagonal number.

It is an amenable number.

10813296169 is a deficient number, since it is larger than the sum of its proper divisors (1573901180).

10813296169 is an frugal number, since it uses more digits than its factorization.

10813296169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 10813296169 in words is "ten billion, eight hundred thirteen million, two hundred ninety-six thousand, one hundred sixty-nine".

Divisors: 1 13 19 169 247 361 421 3211 4693 5473 7999 61009 71149 103987 151981 177241 1351831 1975753 2304133 3367579 25684789 29953729 43778527 63984001 569120851 831792013 10813296169