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3136105056 = 253721739217
BaseRepresentation
bin1011101011101101…
…0010101001100000
322002120010122101010
42322323102221200
522410320330211
61235105340520
7140500311300
oct27273225140
98076118333
103136105056
11136a282167
12736337740
133ac959a86
1421a715600
151354cb4a6
hexbaed2a60

3136105056 has 144 divisors (see below), whose sum is σ = 10139892336. Its totient is φ = 843300864.

The previous prime is 3136105043. The next prime is 3136105069. The reversal of 3136105056 is 6505016313.

3136105056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3136105043) and next prime (3136105069).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60360 + ... + 99576.

It is an arithmetic number, because the mean of its divisors is an integer number (70415919).

Almost surely, 23136105056 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 3136105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069946168).

3136105056 is an abundant number, since it is smaller than the sum of its proper divisors (7003787280).

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

3136105056 is a wasteful number, since it uses less digits than its factorization.

3136105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39261 (or 39246 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 3136105056 is about 56000.9379921444. The cubic root of 3136105056 is about 1463.7386287255.

The spelling of 3136105056 in words is "three billion, one hundred thirty-six million, one hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 672 714 784 816 833 952 1176 1428 1568 1632 1666 1904 2352 2499 2856 3332 3808 4704 4998 5712 6664 9996 11424 13328 19992 26656 39217 39984 78434 79968 117651 156868 235302 274519 313736 470604 549038 627472 666689 823557 941208 1098076 1254944 1333378 1647114 1882416 1921633 2000067 2196152 2666756 3294228 3764832 3843266 4000134 4392304 4666823 5333512 5764899 6588456 7686532 8000268 8784608 9333646 10667024 11529798 13176912 14000469 15373064 16000536 18667292 21334048 23059596 26353824 28000938 30746128 32001072 32667761 37334584 46119192 56001876 61492256 64002144 65335522 74669168 92238384 98003283 112003752 130671044 149338336 184476768 196006566 224007504 261342088 392013132 448015008 522684176 784026264 1045368352 1568052528 3136105056