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5431528505 = 5134112011697
BaseRepresentation
bin1010000111011111…
…01000110000111001
3112000112101020101102
411003233220300321
542110432403010
62254544301145
7251412142034
oct50357506071
915015336342
105431528505
112337a57837
1210770117b5
1368738bac0
1439751201b
1521bc96ba5
hex143be8c39

5431528505 has 32 divisors (see below), whose sum is σ = 7200633888. Its totient is φ = 3907584000.

The previous prime is 5431528493. The next prime is 5431528517. The reversal of 5431528505 is 5058251345.

It is an interprime number because it is at equal distance from previous prime (5431528493) and next prime (5431528517).

It can be written as a sum of positive squares in 16 ways, for example, as 3933296656 + 1498231849 = 62716^2 + 38707^2 .

It is not a de Polignac number, because 5431528505 - 210 = 5431527481 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3199817 + ... + 3201513.

It is an arithmetic number, because the mean of its divisors is an integer number (225019809).

Almost surely, 25431528505 is an apocalyptic number.

It is an amenable number.

5431528505 is a deficient number, since it is larger than the sum of its proper divisors (1769105383).

5431528505 is a wasteful number, since it uses less digits than its factorization.

5431528505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957.

The product of its (nonzero) digits is 120000, while the sum is 38.

The square root of 5431528505 is about 73698.9043677041. The cubic root of 5431528505 is about 1757.8184602328.

The spelling of 5431528505 in words is "five billion, four hundred thirty-one million, five hundred twenty-eight thousand, five hundred five".

Divisors: 1 5 13 41 65 205 533 1201 1697 2665 6005 8485 15613 22061 49241 69577 78065 110305 246205 347885 640133 904501 2038097 3200665 4522505 10190485 26495261 83561977 132476305 417809885 1086305701 5431528505