Search a number
-
+
5141311616 = 27737155083
BaseRepresentation
bin1001100100111001…
…00011000010000000
3111021022021200122202
410302130203002000
541012133432431
62210100052332
7241256266460
oct46234430200
914238250582
105141311616
1121a9155571
12bb59940a8
1363c207c2c
1436ab67ba0
1520156b8cb
hex132723080

5141311616 has 64 divisors (see below), whose sum is σ = 12022111680. Its totient is φ = 2143853568.

The previous prime is 5141311613. The next prime is 5141311621. The reversal of 5141311616 is 6161131415.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5141311613) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 44390 + ... + 110693.

It is an arithmetic number, because the mean of its divisors is an integer number (187845495).

Almost surely, 25141311616 is an apocalyptic number.

5141311616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5141311616 is an abundant number, since it is smaller than the sum of its proper divisors (6880800064).

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

5141311616 is a wasteful number, since it uses less digits than its factorization.

5141311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155141 (or 155129 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

The square root of 5141311616 is about 71702.9400791906. The cubic root of 5141311616 is about 1725.9358211151.

The spelling of 5141311616 in words is "five billion, one hundred forty-one million, three hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 592 896 1036 1184 2072 2368 4144 4736 8288 16576 33152 155083 310166 620332 1085581 1240664 2171162 2481328 4342324 4962656 5738071 8684648 9925312 11476142 17369296 19850624 22952284 34738592 40166497 45904568 69477184 80332994 91809136 138954368 160665988 183618272 321331976 367236544 642663952 734473088 1285327904 2570655808 5141311616