Search a number
-
+
6000656116 = 22713234311663
BaseRepresentation
bin1011001011010101…
…01011111011110100
3120111012021220200211
411211222223323310
544242131443431
62431234515204
7301462510150
oct54552537364
916435256624
106000656116
1125aa239834
1211b5735b04
137482685c0
1440cd40060
15251c172b1
hex165aabef4

6000656116 has 96 divisors (see below), whose sum is σ = 13525843968. Its totient is φ = 2264042880.

The previous prime is 6000656111. The next prime is 6000656153. The reversal of 6000656116 is 6116560006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000656111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3607501 + ... + 3609163.

It is an arithmetic number, because the mean of its divisors is an integer number (140894208).

Almost surely, 26000656116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6000656116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762921984).

6000656116 is an abundant number, since it is smaller than the sum of its proper divisors (7525187852).

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

6000656116 is a wasteful number, since it uses less digits than its factorization.

6000656116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 6000656116 is about 77463.9020189404. The cubic root of 6000656116 is about 1817.1868260788.

The spelling of 6000656116 in words is "six billion, six hundred fifty-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 431 598 644 862 1196 1663 1724 2093 3017 3326 4186 5603 6034 6652 8372 9913 11206 11641 12068 19826 21619 22412 23282 38249 39221 39652 43238 46564 69391 76498 78442 86476 128869 138782 151333 152996 156884 257738 267743 277564 302666 497237 515476 535486 605332 716753 902083 994474 1070972 1433506 1804166 1988948 2867012 3480659 3608332 5017271 6961318 9317789 10034542 13922636 16485319 18635578 20069084 32970638 37271156 65224523 65941276 115397233 130449046 214309147 230794466 260898092 428618294 461588932 857236588 1500164029 3000328058 6000656116