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2712808704 = 2835995897
BaseRepresentation
bin1010000110110010…
…0010110100000000
321000001121221221110
42201230202310000
521023434334304
61125104523320
7124140331164
oct24154426400
97001557843
102712808704
111172345371
12638620540
1334304c868
141ba408ca4
1510d265289
hexa1b22d00

2712808704 has 72 divisors (see below), whose sum is σ = 7233307200. Its totient is φ = 902606848.

The previous prime is 2712808697. The next prime is 2712808727. The reversal of 2712808704 is 4078082172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457084 + ... + 462980.

It is an arithmetic number, because the mean of its divisors is an integer number (100462600).

Almost surely, 22712808704 is an apocalyptic number.

2712808704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616653600).

2712808704 is an abundant number, since it is smaller than the sum of its proper divisors (4520498496).

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

2712808704 is an equidigital number, since it uses as much as digits as its factorization.

2712808704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 2712808704 is about 52084.6302089206. The cubic root of 2712808704 is about 1394.6751304751.

The spelling of 2712808704 in words is "two billion, seven hundred twelve million, eight hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 599 768 1198 1797 2396 3594 4792 5897 7188 9584 11794 14376 17691 19168 23588 28752 35382 38336 47176 57504 70764 76672 94352 115008 141528 153344 188704 230016 283056 377408 460032 566112 754816 1132224 1509632 2264448 3532303 4528896 7064606 10596909 14129212 21193818 28258424 42387636 56516848 84775272 113033696 169550544 226067392 339101088 452134784 678202176 904269568 1356404352 2712808704