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6131416109 = 7213191273989
BaseRepresentation
bin1011011010111010…
…11111110000101101
3120211022100012200112
411231131133300231
5100024120303414
62452225305405
7304641114500
oct55535376055
916738305615
106131416109
11266702a745
121231495265
1376938bc90
1442245b137
1525d445d3e
hex16d75fc2d

6131416109 has 48 divisors (see below), whose sum is σ = 8151091200. Its totient is φ = 4558571136.

The previous prime is 6131416103. The next prime is 6131416117. The reversal of 6131416109 is 9016141316.

6131416109 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6131416109 - 216 = 6131350573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6131416103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1535087 + ... + 1539075.

It is an arithmetic number, because the mean of its divisors is an integer number (169814400).

Almost surely, 26131416109 is an apocalyptic number.

It is an amenable number.

6131416109 is a deficient number, since it is larger than the sum of its proper divisors (2019675091).

6131416109 is a wasteful number, since it uses less digits than its factorization.

6131416109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 6131416109 is about 78303.3595000879. The cubic root of 6131416109 is about 1830.2915029281.

The spelling of 6131416109 in words is "six billion, one hundred thirty-one million, four hundred sixteen thousand, one hundred nine".

Divisors: 1 7 13 19 49 91 127 133 247 637 889 931 1651 1729 2413 3989 6223 11557 12103 16891 27923 31369 51857 75791 80899 118237 195461 219583 362999 506603 530537 985283 1537081 2540993 3546221 3713759 6585839 6896981 9625457 24823547 46100873 48278867 67378199 125130941 322706111 471647393 875916587 6131416109