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6106116096 = 2123355213
BaseRepresentation
bin1011010111111001…
…11111000000000000
3120202112201211121000
411223330333000000
5100001131203341
62445523132000
7304213062513
oct55374770000
916675654530
106106116096
11265381a443
121224b14000
13764071362
1441cd52d7a
1525b0e98b6
hex16bf3f000

6106116096 has 104 divisors (see below), whose sum is σ = 18090314960. Its totient is φ = 2035335168.

The previous prime is 6106116091. The next prime is 6106116109. The reversal of 6106116096 is 6906116016.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6106116096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6106116091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82986 + ... + 138198.

Almost surely, 26106116096 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 6106116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9045157480).

6106116096 is an abundant number, since it is smaller than the sum of its proper divisors (11984198864).

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

6106116096 is an equidigital number, since it uses as much as digits as its factorization.

6106116096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55246 (or 55218 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 6106116096 is about 78141.6412420420. The cubic root of 6106116096 is about 1827.7705933676.

The spelling of 6106116096 in words is "six billion, one hundred six million, one hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 9216 12288 13824 18432 27648 36864 55213 55296 110426 110592 165639 220852 331278 441704 496917 662556 883408 993834 1325112 1490751 1766816 1987668 2650224 2981502 3533632 3975336 5300448 5963004 7067264 7950672 10600896 11926008 14134528 15901344 21201792 23852016 28269056 31802688 42403584 47704032 56538112 63605376 84807168 95408064 113076224 127210752 169614336 190816128 226152448 254421504 339228672 381632256 508843008 678457344 763264512 1017686016 1526529024 2035372032 3053058048 6106116096