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13314159769 = 19260732
BaseRepresentation
bin11000110011001010…
…11111010010011001
31021100212221101122111
430121211133102121
5204231411103034
610041052352321
7650636330221
oct143145372231
937325841574
1013314159769
115712550329
1226b6a756a1
1313424b9861
14904387081
1552dd0b364
hex31995f499

13314159769 has 9 divisors (see below), whose sum is σ = 14054100543. Its totient is φ = 12611337552.

The previous prime is 13314159751. The next prime is 13314159779. The reversal of 13314159769 is 96795141331.

The square root of 13314159769 is 115387.

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., 12081307225 + 1232852544 = 109915^2 + 35112^2 .

It is not a de Polignac number, because 13314159769 - 25 = 13314159737 is a prime.

It is a super-2 number, since 2×133141597692 (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 (13314159779) 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, 2189317 + ... + 2195389.

It is an arithmetic number, because the mean of its divisors is an integer number (1561566727).

Almost surely, 213314159769 is an apocalyptic number.

13314159769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13314159769 is the 115387-th square number.

13314159769 is the 57694-th centered octagonal number.

It is an amenable number.

13314159769 is a deficient number, since it is larger than the sum of its proper divisors (739940774).

13314159769 is an frugal number, since it uses more digits than its factorization.

13314159769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12184 (or 6092 counting only the distinct ones).

The product of its digits is 612360, while the sum is 49.

Multiplying 13314159769 by its sum of digits (49), we get a square (652393828681 = 8077092).

The spelling of 13314159769 in words is "thirteen billion, three hundred fourteen million, one hundred fifty-nine thousand, seven hundred sixty-nine".

Divisors: 1 19 361 6073 115387 2192353 36881329 700745251 13314159769