Search a number
-
+
12909492141 = 37132337181307
BaseRepresentation
bin11000000010111011…
…10011011110101101
31020022200111011000120
430001131303132231
5202414312222031
65532555115153
7634623605220
oct140135633655
936280434016
1012909492141
115525087577
122603442ab9
1312a9702860
148a67295b7
15508524a96
hex3017737ad

12909492141 has 128 divisors (see below), whose sum is σ = 22903136256. Its totient is φ = 6281763840.

The previous prime is 12909492139. The next prime is 12909492151. The reversal of 12909492141 is 14129490921.

It is not a de Polignac number, because 12909492141 - 21 = 12909492139 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12909492093 and 12909492102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12909492151) 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 127 ways as a sum of consecutive naturals, for example, 42050310 + ... + 42050616.

It is an arithmetic number, because the mean of its divisors is an integer number (178930752).

Almost surely, 212909492141 is an apocalyptic number.

It is an amenable number.

12909492141 is a deficient number, since it is larger than the sum of its proper divisors (9993644115).

12909492141 is a wasteful number, since it uses less digits than its factorization.

12909492141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571.

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 12909492141 in words is "twelve billion, nine hundred nine million, four hundred ninety-two thousand, one hundred forty-one".

Divisors: 1 3 7 13 21 23 37 39 69 91 111 161 181 259 273 299 307 481 483 543 777 851 897 921 1267 1443 2093 2149 2353 2553 3367 3801 3991 4163 5957 6279 6447 6697 7059 7061 10101 11063 11359 11973 12489 16471 17871 20091 21183 27937 29141 33189 34077 46879 49413 49427 54119 55567 77441 79513 83811 87061 87423 91793 140637 147667 148281 154031 162357 166701 232323 238539 261183 261257 275379 378833 388969 443001 462093 609427 642551 722371 783771 1033669 1078217 1136499 1166907 1278041 1828281 1828799 1927653 2002403 2055979 2167113 3101007 3234651 3396341 3834123 5056597 5486397 6007209 6167937 8946287 10189023 14016821 14391853 15169791 16614533 23774387 26727727 26838861 42050463 43175559 47287517 49843599 71323161 80183181 116301731 141862551 187094089 331012619 348905193 561282267 614737721 993037857 1844213163 4303164047 12909492141