Search a number
-
+
6124146405 = 3513192371867
BaseRepresentation
bin1011011010000011…
…10000111011100101
3120210210122212112020
411231001300323211
5100020240141110
62451405413353
7304522246146
oct55501607345
916723585466
106124146405
112662a14923
12122ab6a259
13767a15090
144214c7acd
1525c9abd70
hex16d070ee5

6124146405 has 64 divisors (see below), whose sum is σ = 11590871040. Its totient is φ = 2732057856.

The previous prime is 6124146401. The next prime is 6124146407. The reversal of 6124146405 is 5046414216.

It is not a de Polignac number, because 6124146405 - 22 = 6124146401 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6124146401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49282 + ... + 121148.

It is an arithmetic number, because the mean of its divisors is an integer number (181107360).

Almost surely, 26124146405 is an apocalyptic number.

6124146405 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6124146405 is a deficient number, since it is larger than the sum of its proper divisors (5466724635).

6124146405 is a wasteful number, since it uses less digits than its factorization.

6124146405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71930.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 6124146405 is about 78256.9256040640. The cubic root of 6124146405 is about 1829.5678560953.

The spelling of 6124146405 in words is "six billion, one hundred twenty-four million, one hundred forty-six thousand, four hundred five".

Divisors: 1 3 5 13 15 19 23 39 57 65 69 95 115 195 247 285 299 345 437 741 897 1235 1311 1495 2185 3705 4485 5681 6555 17043 28405 71867 85215 215601 359335 934271 1078005 1365473 1652941 2802813 4096419 4671355 4958823 6827365 8264705 14014065 17751149 20482095 21488233 24794115 31405879 53253447 64464699 88755745 94217637 107441165 157029395 266267235 322323495 408276427 471088185 1224829281 2041382135 6124146405