Search a number
-
+
13197649982449 = 19271226932
BaseRepresentation
bin1100000000001101000100…
…1111010011001111110001
31201201200102220210221201211
43000003101033103033301
53212212241343414244
644022530001400121
72531333032624312
oct300032117231761
951650386727654
1013197649982449
114229101397a29
121591962339041
137496c116c05a
14338aabd78609
1517d47b659934
hexc00d13d33f1

13197649982449 has 27 divisors (see below), whose sum is σ = 14133013475979. Its totient is φ = 12322360315440.

The previous prime is 13197649982401. The next prime is 13197649982471. The reversal of 13197649982449 is 94428994679131.

It is a happy number.

The square root of 13197649982449 is 3632857.

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., 5415045350625 + 7782604631824 = 2327025^2 + 2789732^2 .

It is not a de Polignac number, because 13197649982449 - 29 = 13197649981937 is a prime.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13197649982149) 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, 4900722747 + ... + 4900725439.

Almost surely, 213197649982449 is an apocalyptic number.

13197649982449 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13197649982449 is the 3632857-th square number.

13197649982449 is the 1816429-th centered octagonal number.

It is an amenable number.

13197649982449 is a deficient number, since it is larger than the sum of its proper divisors (935363493530).

13197649982449 is an frugal number, since it uses more digits than its factorization.

13197649982449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 2783 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 76.

The spelling of 13197649982449 in words is "thirteen trillion, one hundred ninety-seven billion, six hundred forty-nine million, nine hundred eighty-two thousand, four hundred forty-nine".

Divisors: 1 19 71 361 1349 2693 5041 25631 51167 95779 191203 972173 1819801 3632857 7252249 13575413 69024283 137792731 257932847 514909679 2618061889 4900724093 9783283901 36558587209 185882394119 694613156971 13197649982449