Search a number
-
+
5035776108 = 22311172977383
BaseRepresentation
bin1001011000010011…
…11101100001101100
3110222221200221011020
410230021331201230
540303124313413
62151410054140
7235535250666
oct45411754154
913887627136
105035776108
112154623140
12b8657a350
136233a699c
1435ab35536
151e7171c23
hex12c27d86c

5035776108 has 96 divisors (see below), whose sum is σ = 14040552960. Its totient is φ = 1386685440.

The previous prime is 5035776073. The next prime is 5035776133. The reversal of 5035776108 is 8016775305.

It is a self number, because there is not a number n which added to its sum of digits gives 5035776108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26385 + ... + 103767.

It is an arithmetic number, because the mean of its divisors is an integer number (146255760).

Almost surely, 25035776108 is an apocalyptic number.

5035776108 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5035776108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020276480).

5035776108 is an abundant number, since it is smaller than the sum of its proper divisors (9004776852).

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

5035776108 is a wasteful number, since it uses less digits than its factorization.

5035776108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77447 (or 77445 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 5035776108 is about 70963.2024925595. The cubic root of 5035776108 is about 1714.0446767732.

The spelling of 5035776108 in words is "five billion, thirty-five million, seven hundred seventy-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 11 12 17 22 29 33 34 44 51 58 66 68 87 102 116 132 174 187 204 319 348 374 493 561 638 748 957 986 1122 1276 1479 1914 1972 2244 2958 3828 5423 5916 10846 16269 21692 32538 65076 77383 154766 232149 309532 464298 851213 928596 1315511 1702426 2244107 2553639 2631022 3404852 3946533 4488214 5107278 5262044 6732321 7893066 8976428 10214556 13464642 14470621 15786132 24685177 26929284 28941242 38149819 43411863 49370354 57882484 74055531 76299638 86823726 98740708 114449457 148111062 152599276 173647452 228898914 296222124 419648009 457797828 839296018 1258944027 1678592036 2517888054 5035776108