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13797556369 = 101211632
BaseRepresentation
bin11001101100110011…
…00000000010010001
31022121120112111010021
430312121200002101
5211224133300434
610201041303441
7665626202602
oct146631400221
938546474107
1013797556369
1159403a7353
122810934b81
1313bb6aa54c
1494c659da9
1555b494cb4
hex336660091

13797556369 has 9 divisors (see below), whose sum is σ = 13947511099. Its totient is φ = 13649200600.

The previous prime is 13797556361. The next prime is 13797556387. The reversal of 13797556369 is 96365579731.

The square root of 13797556369 is 117463.

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., 13256528769 + 541027600 = 115137^2 + 23260^2 .

It is not a de Polignac number, because 13797556369 - 23 = 13797556361 is a prime.

It is a super-2 number, since 2×137975563692 (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 (13797556361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11863182 + ... + 11864344.

Almost surely, 213797556369 is an apocalyptic number.

13797556369 is the 117463-rd square number.

13797556369 is the 58732-nd centered octagonal number.

It is an amenable number.

13797556369 is a deficient number, since it is larger than the sum of its proper divisors (149954730).

13797556369 is an frugal number, since it uses more digits than its factorization.

13797556369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 1264 counting only the distinct ones).

The product of its digits is 32148900, while the sum is 61.

The spelling of 13797556369 in words is "thirteen billion, seven hundred ninety-seven million, five hundred fifty-six thousand, three hundred sixty-nine".

Divisors: 1 101 1163 10201 117463 1352569 11863763 136609469 13797556369