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7131049092 = 22321773159617
BaseRepresentation
bin1101010010000101…
…10010110010000100
3200101222022211100100
412221002302302010
5104101022032332
63135335044100
7341466626406
oct65102626204
920358284310
107131049092
11302a322802
121470210630
138984cb09b
144b9110b76
152bb0a367c
hex1a90b2c84

7131049092 has 72 divisors (see below), whose sum is σ = 19347617016. Its totient is φ = 2206531584.

The previous prime is 7131049073. The next prime is 7131049129. The reversal of 7131049092 is 2909401317.

7131049092 is a `hidden beast` number, since 71 + 3 + 10 + 490 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 246364416 + 6884684676 = 15696^2 + 82974^2 .

It is a super-2 number, since 2×71310490922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 35133 + ... + 124484.

It is an arithmetic number, because the mean of its divisors is an integer number (268716903).

Almost surely, 27131049092 is an apocalyptic number.

It is an amenable number.

7131049092 is an abundant number, since it is smaller than the sum of its proper divisors (12216567924).

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

7131049092 is a wasteful number, since it uses less digits than its factorization.

7131049092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159717 (or 159712 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 7131049092 is about 84445.5392072311. The cubic root of 7131049092 is about 1924.7949715407.

The spelling of 7131049092 in words is "seven billion, one hundred thirty-one million, forty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 612 657 876 1241 1314 2482 2628 3723 4964 7446 11169 14892 22338 44676 159617 319234 478851 638468 957702 1436553 1915404 2713489 2873106 5426978 5746212 8140467 10853956 11652041 16280934 23304082 24421401 32561868 34956123 46608164 48842802 69912246 97685604 104868369 139824492 198084697 209736738 396169394 419473476 594254091 792338788 1188508182 1782762273 2377016364 3565524546 7131049092