Search a number
-
+
12029044329 = 32365592
BaseRepresentation
bin10110011001111110…
…01010011001101001
31011001022202202200100
423030333022121221
5144113413404304
65305344100013
7604043122041
oct131477123151
934038682610
1012029044329
11511309a055
1223b8604609
131199193813
1482181c721
154a60ab439
hex2ccfca669

12029044329 has 9 divisors (see below), whose sum is σ = 17375761533. Its totient is φ = 8019143532.

The previous prime is 12029044301. The next prime is 12029044351. The reversal of 12029044329 is 92344092021.

The square root of 12029044329 is 109677.

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

12029044329 is a `hidden beast` number, since 1 + 2 + 0 + 290 + 44 + 329 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12029044329 - 211 = 12029042281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12029044293 and 12029044302.

It is not an unprimeable number, because it can be changed into a prime (12029084329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 310752 + ... + 347310.

Almost surely, 212029044329 is an apocalyptic number.

12029044329 is the 109677-th square number.

12029044329 is the 54839-th centered octagonal number.

It is an amenable number.

12029044329 is a deficient number, since it is larger than the sum of its proper divisors (5346717204).

12029044329 is an frugal number, since it uses more digits than its factorization.

12029044329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73124 (or 36562 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 12029044329 by its sum of digits (36), we get a square (433045595844 = 6580622).

The spelling of 12029044329 in words is "twelve billion, twenty-nine million, forty-four thousand, three hundred twenty-nine".

Divisors: 1 3 9 36559 109677 329031 1336560481 4009681443 12029044329