Search a number
-
+
13046893729 = 17267192
BaseRepresentation
bin11000010011010011…
…11100110010100001
31020200021000212120021
430021221330302201
5203210001044404
65554344113441
7641212524022
oct141151746241
936607025507
1013046893729
1155956a4401
122641465881
1312cc01027c
148baa94c49
15515616454
hex309a7cca1

13046893729 has 9 divisors (see below), whose sum is σ = 13861566067. Its totient is φ = 12277601824.

The previous prime is 13046893721. The next prime is 13046893789. The reversal of 13046893729 is 92739864031.

The square root of 13046893729 is 114223.

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., 10157616225 + 2889277504 = 100785^2 + 53752^2 .

It is not a de Polignac number, because 13046893729 - 23 = 13046893721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13046893721) 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, 1938432 + ... + 1945150.

Almost surely, 213046893729 is an apocalyptic number.

13046893729 is the 114223-rd square number.

13046893729 is the 57112-nd centered octagonal number.

It is an amenable number.

13046893729 is a deficient number, since it is larger than the sum of its proper divisors (814672338).

13046893729 is an frugal number, since it uses more digits than its factorization.

13046893729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13472 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 13046893729 in words is "thirteen billion, forty-six million, eight hundred ninety-three thousand, seven hundred twenty-nine".

Divisors: 1 17 289 6719 114223 1941791 45144961 767464337 13046893729