Search a number
-
+
13788160929 = 3643492
BaseRepresentation
bin11001101011101011…
…01010001110100001
31022120220212011000000
430311311222032201
5211214232122204
610200104050213
7665453301624
oct146565521641
938526764000
1013788160929
11593606a424
122809763969
1313b976ac0a
1494b2d1dbb
1555a73b039
hex335d6a3a1

13788160929 has 21 divisors (see below), whose sum is σ = 20677539043. Its totient is φ = 9189993672.

The previous prime is 13788160909. The next prime is 13788160931. The reversal of 13788160929 is 92906188731.

The square root of 13788160929 is 117423.

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

13788160929 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 8 + 1 + 609 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 308950929 + 13479210000 = 17577^2 + 116100^2 .

It is not a de Polignac number, because 13788160929 - 27 = 13788160801 is a prime.

It is a super-2 number, since 2×137881609292 (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 (13788160909) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3168247 + ... + 3172595.

Almost surely, 213788160929 is an apocalyptic number.

13788160929 is the 117423-rd square number.

13788160929 is the 58712-nd centered octagonal number.

It is an amenable number.

13788160929 is a deficient number, since it is larger than the sum of its proper divisors (6889378114).

13788160929 is an frugal number, since it uses more digits than its factorization.

13788160929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 13788160929 in words is "thirteen billion, seven hundred eighty-eight million, one hundred sixty thousand, nine hundred twenty-nine".

Divisors: 1 3 9 27 81 243 729 4349 13047 39141 117423 352269 1056807 3170421 18913801 56741403 170224209 510672627 1532017881 4596053643 13788160929