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2086558131 = 372193761331
BaseRepresentation
bin111110001011110…
…0101100110110011
312101102020010122210
41330113211212303
513233124330011
6543014103203
7102464310600
oct17427454663
95342203583
102086558131
11980898009
124a294ab03
132733927a8
1415b18b6a7
15c32ae6a6
hex7c5e59b3

2086558131 has 96 divisors (see below), whose sum is σ = 3566795520. Its totient is φ = 1077753600.

The previous prime is 2086558109. The next prime is 2086558141. The reversal of 2086558131 is 1318556802.

It is not a de Polignac number, because 2086558131 - 25 = 2086558099 is a prime.

It is a super-2 number, since 2×20865581312 = 8707449668084426322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2086558131.

It is not an unprimeable number, because it can be changed into a prime (2086558141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6303636 + ... + 6303966.

It is an arithmetic number, because the mean of its divisors is an integer number (37154120).

Almost surely, 22086558131 is an apocalyptic number.

2086558131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2086558131 is a deficient number, since it is larger than the sum of its proper divisors (1480237389).

2086558131 is a wasteful number, since it uses less digits than its factorization.

2086558131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 2086558131 is about 45678.8586875811. The cubic root of 2086558131 is about 1277.8410323651.

The spelling of 2086558131 in words is "two billion, eighty-six million, five hundred fifty-eight thousand, one hundred thirty-one".

Divisors: 1 3 7 19 21 37 49 57 61 111 133 147 183 259 331 399 427 703 777 931 993 1159 1281 1813 2109 2257 2317 2793 2989 3477 4921 5439 6289 6771 6951 8113 8967 12247 14763 15799 16219 18867 20191 24339 34447 36741 42883 44023 47397 48657 56791 60573 85729 103341 110593 128649 132069 141337 170373 232693 257187 300181 308161 331779 383629 424011 600103 698079 747067 900543 924483 989359 1150887 1628851 1800309 2101267 2241201 2685403 2968077 4886553 5229469 6303801 8056209 11401957 14194273 15688407 18797821 34205871 36606283 42582819 56393463 99359911 109818849 298079733 695519377 2086558131