Search a number
-
+
6140505006 = 2321943715881
BaseRepresentation
bin1011011100000000…
…01010101110101110
3120211221102222022100
411232000022232232
5100033432130011
62453152155530
7305111300646
oct55600125656
916757388270
106140505006
112671178329
121234538ba6
1376b221c1c
14423745526
1525e13dd56
hex16e00abae

6140505006 has 96 divisors (see below), whose sum is σ = 14534657280. Its totient is φ = 1867017600.

The previous prime is 6140504989. The next prime is 6140505013. The reversal of 6140505006 is 6005050416.

It is a happy number.

It is a super-2 number, since 2×61405050062 = 75411603457422120072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041186 + ... + 1047066.

It is an arithmetic number, because the mean of its divisors is an integer number (151402680).

Almost surely, 26140505006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6140505006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267328640).

6140505006 is an abundant number, since it is smaller than the sum of its proper divisors (8394152274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6140505006 is a wasteful number, since it uses less digits than its factorization.

6140505006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022 (or 6019 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6140505006 is about 78361.3744519582. The cubic root of 6140505006 is about 1831.1954332019.

The spelling of 6140505006 in words is "six billion, one hundred forty million, five hundred five thousand, six".

Divisors: 1 2 3 6 9 18 19 38 43 57 71 86 114 129 142 171 213 258 342 387 426 639 774 817 1278 1349 1634 2451 2698 3053 4047 4902 5881 6106 7353 8094 9159 11762 12141 14706 17643 18318 24282 27477 35286 52929 54954 58007 105858 111739 116014 174021 223478 252883 335217 348042 417551 505766 522063 670434 758649 835102 1005651 1044126 1252653 1517298 2011302 2275947 2505306 3757959 4551894 4804777 7515918 7933469 9609554 14414331 15866938 17954693 23800407 28828662 35909386 43242993 47600814 53864079 71401221 86485986 107728158 142802442 161592237 323184474 341139167 682278334 1023417501 2046835002 3070252503 6140505006