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2712140968 = 231773273181
BaseRepresentation
bin1010000110100111…
…1111110010101000
321000000101000222111
42201221333302220
521023302002333
61125042332104
7124131550345
oct24151776250
97000330874
102712140968
111171a29719
1263835a034
13342b77954
141ba2b37cc
1510d1824cd
hexa1a7fca8

2712140968 has 32 divisors (see below), whose sum is σ = 5458176360. Its totient is φ = 1258813440.

The previous prime is 2712140957. The next prime is 2712141001. The reversal of 2712140968 is 8690412172.

It can be written as a sum of positive squares in 4 ways, for example, as 2448468324 + 263672644 = 49482^2 + 16238^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2712140968.

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 7 ways as a sum of consecutive naturals, for example, 126663 + ... + 146518.

Almost surely, 22712140968 is an apocalyptic number.

It is an amenable number.

2712140968 is an abundant number, since it is smaller than the sum of its proper divisors (2746035392).

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

2712140968 is a wasteful number, since it uses less digits than its factorization.

2712140968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273277 (or 273273 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 2712140968 is about 52078.2197084347. The cubic root of 2712140968 is about 1394.5606917373.

The spelling of 2712140968 in words is "two billion, seven hundred twelve million, one hundred forty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 17 34 68 73 136 146 292 584 1241 2482 4964 9928 273181 546362 1092724 2185448 4644077 9288154 18576308 19942213 37152616 39884426 79768852 159537704 339017621 678035242 1356070484 2712140968