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6826037820 = 2235716252471
BaseRepresentation
bin1100101101101110…
…10001001000111100
3122121201101122112120
412112313101020330
5102434431202240
63045201402540
7331104235620
oct62667211074
918551348476
106826037820
112993136278
1213a6039450
1384a267344
1448a7d5180
1529e404ad0
hex196dd123c

6826037820 has 48 divisors (see below), whose sum is σ = 21843322368. Its totient is φ = 1560237120.

The previous prime is 6826037789. The next prime is 6826037849. The reversal of 6826037820 is 287306286.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 8125816 + ... + 8126655.

It is an arithmetic number, because the mean of its divisors is an integer number (455069216).

Almost surely, 26826037820 is an apocalyptic number.

6826037820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6826037820 is an abundant number, since it is smaller than the sum of its proper divisors (15017284548).

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

6826037820 is a wasteful number, since it uses less digits than its factorization.

6826037820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16252490 (or 16252488 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 6826037820 is about 82619.8391429080. The cubic root of 6826037820 is about 1896.9515121556.

The spelling of 6826037820 in words is "six billion, eight hundred twenty-six million, thirty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 16252471 32504942 48757413 65009884 81262355 97514826 113767297 162524710 195029652 227534594 243787065 325049420 341301891 455069188 487574130 568836485 682603782 975148260 1137672970 1365207564 1706509455 2275345940 3413018910 6826037820