Search a number
-
+
12829192389 = 3213283151673
BaseRepresentation
bin10111111001010110…
…11111000011000101
31020010002101111110200
423330223133003011
5202233233124024
65521010041113
7632630223156
oct137453370305
936102344420
1012829192389
115493821142
1225a0579199
131295b98c00
14899bc592d
155014622c9
hex2fcadf0c5

12829192389 has 72 divisors (see below), whose sum is σ = 20472798528. Its totient is φ = 7736601600.

The previous prime is 12829192351. The next prime is 12829192391. The reversal of 12829192389 is 98329192821.

12829192389 is a `hidden beast` number, since 12 + 82 + 91 + 92 + 389 = 666.

It is not a de Polignac number, because 12829192389 - 28 = 12829192133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12829192319) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19062357 + ... + 19063029.

It is an arithmetic number, because the mean of its divisors is an integer number (284344424).

Almost surely, 212829192389 is an apocalyptic number.

It is an amenable number.

12829192389 is a deficient number, since it is larger than the sum of its proper divisors (7643606139).

12829192389 is a wasteful number, since it uses less digits than its factorization.

12829192389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 923 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 12829192389 in words is "twelve billion, eight hundred twenty-nine million, one hundred ninety-two thousand, three hundred eighty-nine".

Divisors: 1 3 9 13 39 83 117 151 169 249 453 507 673 747 1079 1359 1521 1963 2019 3237 5889 6057 8749 9711 12533 14027 17667 25519 26247 37599 42081 55859 76557 78741 101623 112797 113737 126243 162929 167577 229671 304869 341211 488787 502731 726167 914607 1023633 1321099 1466361 2118077 2178501 3963297 6354231 6535503 8434709 9440171 11889891 17174287 19062693 25304127 28320513 51522861 75912381 84961539 109651217 154568583 328953651 986860953 1425465821 4276397463 12829192389