Search a number
-
+
5036837160 = 2335232962929
BaseRepresentation
bin1001011000011100…
…00000100100101000
3111000000200211122110
410230032000210220
540303412242120
62151444522320
7235550260305
oct45416004450
914000624573
105036837160
112155188343
12b869b03a0
13623688924
1435ad300ac
151e72d12e0
hex12c380928

5036837160 has 128 divisors (see below), whose sum is σ = 16311456000. Its totient is φ = 1240436736.

The previous prime is 5036837159. The next prime is 5036837171. The reversal of 5036837160 is 617386305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48576 + ... + 111504.

It is an arithmetic number, because the mean of its divisors is an integer number (127433250).

Almost surely, 25036837160 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 5036837160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155728000).

5036837160 is an abundant number, since it is smaller than the sum of its proper divisors (11274618840).

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

5036837160 is a wasteful number, since it uses less digits than its factorization.

5036837160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62995 (or 62991 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 5036837160 is about 70970.6781706361. The cubic root of 5036837160 is about 1714.1650529756.

The spelling of 5036837160 in words is "five billion, thirty-six million, eight hundred thirty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 29 30 40 46 58 60 69 87 92 115 116 120 138 145 174 184 230 232 276 290 345 348 435 460 552 580 667 690 696 870 920 1160 1334 1380 1740 2001 2668 2760 3335 3480 4002 5336 6670 8004 10005 13340 16008 20010 26680 40020 62929 80040 125858 188787 251716 314645 377574 503432 629290 755148 943935 1258580 1447367 1510296 1824941 1887870 2517160 2894734 3649882 3775740 4342101 5474823 5789468 7236835 7299764 7551480 8684202 9124705 10949646 11578936 14473670 14599528 17368404 18249410 21710505 21899292 27374115 28947340 34736808 36498820 41973643 43421010 43798584 54748230 57894680 72997640 83947286 86842020 109496460 125920929 167894572 173684040 209868215 218992920 251841858 335789144 419736430 503683716 629604645 839472860 1007367432 1259209290 1678945720 2518418580 5036837160