Search a number
-
+
6239226672 = 243277187179
BaseRepresentation
bin1011100111110001…
…10000101100110000
3121002211012112222100
411303320300230300
5100234220223142
62511040140400
7310420360140
oct56370605460
917084175870
106239226672
112711976388
121261607700
13785808903
144328c2920
15267b3eb4c
hex173e30b30

6239226672 has 120 divisors (see below), whose sum is σ = 20236919040. Its totient is φ = 1757508480.

The previous prime is 6239226671. The next prime is 6239226683. The reversal of 6239226672 is 2766229326.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6239226671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27979 + ... + 115157.

It is an arithmetic number, because the mean of its divisors is an integer number (168640992).

Almost surely, 26239226672 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 6239226672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118459520).

6239226672 is an abundant number, since it is smaller than the sum of its proper divisors (13997692368).

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

6239226672 is a wasteful number, since it uses less digits than its factorization.

6239226672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87271 (or 87262 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 6239226672 is about 78988.7756076773. The cubic root of 6239226672 is about 1840.9567598235.

The spelling of 6239226672 in words is "six billion, two hundred thirty-nine million, two hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1491 1704 1988 2556 2982 3408 3976 4473 5112 5964 7952 8946 10224 11928 17892 23856 35784 71568 87179 174358 261537 348716 523074 610253 697432 784611 1046148 1220506 1394864 1569222 1830759 2092296 2441012 3138444 3661518 4184592 4882024 5492277 6189709 6276888 7323036 9764048 10984554 12379418 12553776 14646072 18569127 21969108 24758836 29292144 37138254 43327963 43938216 49517672 55707381 74276508 86655926 87876432 99035344 111414762 129983889 148553016 173311852 222829524 259967778 297106032 346623704 389951667 445659048 519935556 693247408 779903334 891318096 1039871112 1559806668 2079742224 3119613336 6239226672