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5141823500 = 2253114719891
BaseRepresentation
bin1001100100111101…
…00000000000001100
3111021100020200211102
410302132200000030
541012301323000
62210115042232
7241263531032
oct46236400014
914240220742
105141823500
1121a9475110
12bb5ba0378
1363c356c18
1436ac5c552
1520161d3d5
hex1327a000c

5141823500 has 96 divisors (see below), whose sum is σ = 12511908864. Its totient is φ = 1829880000.

The previous prime is 5141823487. The next prime is 5141823539. The reversal of 5141823500 is 53281415.

It is a super-3 number, since 3×51418235003 (a number of 30 digits) contains 333 as substring.

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, 248555 + ... + 268445.

It is an arithmetic number, because the mean of its divisors is an integer number (130332384).

Almost surely, 25141823500 is an apocalyptic number.

5141823500 is a gapful number since it is divisible by the number (50) 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 5141823500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255954432).

5141823500 is an abundant number, since it is smaller than the sum of its proper divisors (7370085364).

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

5141823500 is a wasteful number, since it uses less digits than its factorization.

5141823500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19968 (or 19956 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 5141823500 is about 71706.5094674117. The cubic root of 5141823500 is about 1725.9930989512.

The spelling of 5141823500 in words is "five billion, one hundred forty-one million, eight hundred twenty-three thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 125 188 220 235 250 275 470 500 517 550 940 1034 1100 1175 1375 2068 2350 2585 2750 4700 5170 5500 5875 10340 11750 12925 19891 23500 25850 39782 51700 64625 79564 99455 129250 198910 218801 258500 397820 437602 497275 875204 934877 994550 1094005 1869754 1989100 2188010 2486375 3739508 4376020 4674385 4972750 5470025 9348770 9945500 10283647 10940050 18697540 20567294 21880100 23371925 27350125 41134588 46743850 51418235 54700250 93487700 102836470 109400500 116859625 205672940 233719250 257091175 467438500 514182350 1028364700 1285455875 2570911750 5141823500