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6196428432 = 2432531495449
BaseRepresentation
bin1011100010101010…
…11111111010010000
3120222211200011211100
411301111133322100
5100142241202212
62502510544400
7306360526005
oct56125377220
916884604740
106196428432
11269a7a4437
12124b208100
137799a24cc
1442ad418ac
15263ed8bdc
hex17155fe90

6196428432 has 120 divisors (see below), whose sum is σ = 17790435000. Its totient is φ = 2012534784.

The previous prime is 6196428431. The next prime is 6196428439. The reversal of 6196428432 is 2348246916.

6196428432 is a `hidden beast` number, since 6 + 196 + 4 + 28 + 432 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22240656 + 6174187776 = 4716^2 + 78576^2 .

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 (6196428431) 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, 1134444 + ... + 1139892.

It is an arithmetic number, because the mean of its divisors is an integer number (148253625).

Almost surely, 26196428432 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 6196428432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8895217500).

6196428432 is an abundant number, since it is smaller than the sum of its proper divisors (11594006568).

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

6196428432 is a wasteful number, since it uses less digits than its factorization.

6196428432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5656 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 6196428432 is about 78717.3959935159. The cubic root of 6196428432 is about 1836.7377245237.

The spelling of 6196428432 in words is "six billion, one hundred ninety-six million, four hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 149 159 212 298 318 424 447 477 596 636 848 894 954 1192 1272 1341 1788 1908 2384 2544 2682 3576 3816 5364 5449 7152 7632 7897 10728 10898 15794 16347 21456 21796 23691 31588 32694 43592 47382 49041 63176 65388 71073 87184 94764 98082 126352 130776 142146 189528 196164 261552 284292 288797 379056 392328 568584 577594 784656 811901 866391 1137168 1155188 1623802 1732782 2310376 2435703 2599173 3247604 3465564 4620752 4871406 5198346 6495208 6931128 7307109 9742812 10396692 12990416 13862256 14614218 19485624 20793384 29228436 38971248 41586768 43030753 58456872 86061506 116913744 129092259 172123012 258184518 344246024 387276777 516369036 688492048 774553554 1032738072 1549107108 2065476144 3098214216 6196428432