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5141711016 = 23321326320887
BaseRepresentation
bin1001100100111100…
…00100100010101000
3111021100000222112100
410302132010202220
541012234223031
62210112413400
7241262552061
oct46236044250
914240028470
105141711016
1121a93a8652
12bb5b47260
1363c317970
1436ac2d568
152015e9de6
hex1327848a8

5141711016 has 96 divisors (see below), whose sum is σ = 15054399360. Its totient is φ = 1575974016.

The previous prime is 5141710999. The next prime is 5141711021. The reversal of 5141711016 is 6101171415.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235725 + ... + 256611.

It is an arithmetic number, because the mean of its divisors is an integer number (156816660).

Almost surely, 25141711016 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 5141711016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527199680).

5141711016 is an abundant number, since it is smaller than the sum of its proper divisors (9912688344).

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

5141711016 is a wasteful number, since it uses less digits than its factorization.

5141711016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21175 (or 21168 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The square root of 5141711016 is about 71705.7251270775. The cubic root of 5141711016 is about 1725.9805127534.

The spelling of 5141711016 in words is "five billion, one hundred forty-one million, seven hundred eleven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 263 312 468 526 789 936 1052 1578 2104 2367 3156 3419 4734 6312 6838 9468 10257 13676 18936 20514 20887 27352 30771 41028 41774 61542 62661 82056 83548 123084 125322 167096 187983 246168 250644 271531 375966 501288 543062 751932 814593 1086124 1503864 1629186 2172248 2443779 3258372 4887558 5493281 6516744 9775116 10986562 16479843 19550232 21973124 32959686 43946248 49439529 65919372 71412653 98879058 131838744 142825306 197758116 214237959 285650612 395516232 428475918 571301224 642713877 856951836 1285427754 1713903672 2570855508 5141711016