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2068826500 = 225313318281
BaseRepresentation
bin111101101001111…
…1100100110000100
312100011212021102201
41323103330212010
513214104422000
6541142044244
7102160510066
oct17323744604
95304767381
102068826500
11971886a74
12498a19684
1326c7c49c0
14158a93736
15c195a96a
hex7b4fc984

2068826500 has 48 divisors (see below), whose sum is σ = 4865895216. Its totient is φ = 763872000.

The previous prime is 2068826467. The next prime is 2068826549. The reversal of 2068826500 is 56288602.

It can be written as a sum of positive squares in 8 ways, for example, as 849839104 + 1218987396 = 29152^2 + 34914^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2068826500.

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 15 ways as a sum of consecutive naturals, for example, 152641 + ... + 165640.

It is an arithmetic number, because the mean of its divisors is an integer number (101372817).

Almost surely, 22068826500 is an apocalyptic number.

2068826500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2068826500 is an abundant number, since it is smaller than the sum of its proper divisors (2797068716).

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

2068826500 is a wasteful number, since it uses less digits than its factorization.

2068826500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318313 (or 318301 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 2068826500 is about 45484.3544529325. The cubic root of 2068826500 is about 1274.2110202682.

The spelling of 2068826500 in words is "two billion, sixty-eight million, eight hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 318281 636562 1273124 1591405 3182810 4137653 6365620 7957025 8275306 15914050 16550612 20688265 31828100 39785125 41376530 79570250 82753060 103441325 159140500 206882650 413765300 517206625 1034413250 2068826500