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3093968856 = 23311171574391
BaseRepresentation
bin1011100001101010…
…0011011111011000
321222121211220101010
42320122203133120
522314024000411
61231002253520
7136446205236
oct27032433730
97877756333
103093968856
111348512660
127241b72a0
133a3cc5b04
14214ca7956
151319567a6
hexb86a37d8

3093968856 has 128 divisors (see below), whose sum is σ = 8993410560. Its totient is φ = 876595200.

The previous prime is 3093968851. The next prime is 3093968869. The reversal of 3093968856 is 6588693903.

It is a junction number, because it is equal to n+sod(n) for n = 3093968796 and 3093968805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3093968851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702421 + ... + 706811.

It is an arithmetic number, because the mean of its divisors is an integer number (70261020).

Almost surely, 23093968856 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 3093968856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496705280).

3093968856 is an abundant number, since it is smaller than the sum of its proper divisors (5899441704).

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

3093968856 is a wasteful number, since it uses less digits than its factorization.

3093968856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The square root of 3093968856 is about 55623.4559875598. The cubic root of 3093968856 is about 1457.1535295203.

The spelling of 3093968856 in words is "three billion, ninety-three million, nine hundred sixty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 157 187 204 264 314 374 408 471 561 628 748 942 1122 1256 1496 1727 1884 2244 2669 3454 3768 4391 4488 5181 5338 6908 8007 8782 10362 10676 13173 13816 16014 17564 20724 21352 26346 29359 32028 35128 41448 48301 52692 58718 64056 74647 88077 96602 105384 117436 144903 149294 176154 193204 223941 234872 289806 298588 352308 386408 447882 579612 597176 689387 704616 821117 895764 1159224 1378774 1642234 1791528 2068161 2463351 2757548 3284468 4136322 4926702 5515096 6568936 7583257 8272644 9853404 11719579 15166514 16545288 19706808 22749771 23439158 30333028 35158737 45499542 46878316 60666056 70317474 90999084 93756632 128915369 140634948 181998168 257830738 281269896 386746107 515661476 773492214 1031322952 1546984428 3093968856