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6820443038900 = 22521711353353389
BaseRepresentation
bin110001101000000001000…
…0101011010010010110100
3220011000202101212021020202
41203100002011122102310
51343221231404221100
622301133540420032
71302521636164541
oct143200205322264
926130671767222
106820443038900
11219a596317917
12921a206a7618
133a621b71449a
1419817b205bc8
15bc636d5b7d5
hex6340215a4b4

6820443038900 has 72 divisors (see below), whose sum is σ = 15672395574360. Its totient is φ = 2567462768640.

The previous prime is 6820443038873. The next prime is 6820443039013. The reversal of 6820443038900 is 98303440286.

It can be written as a sum of positive squares in 12 ways, for example, as 1362668667556 + 5457774371344 = 1167334^2 + 2336188^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19123406 + ... + 19476794.

It is an arithmetic number, because the mean of its divisors is an integer number (217672160755).

Almost surely, 26820443038900 is an apocalyptic number.

It is an amenable number.

6820443038900 is an abundant number, since it is smaller than the sum of its proper divisors (8851952535460).

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

6820443038900 is a wasteful number, since it uses less digits than its factorization.

6820443038900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364773 (or 364766 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 47.

The spelling of 6820443038900 in words is "six trillion, eight hundred twenty billion, four hundred forty-three million, thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 11353 22706 45412 56765 113530 193001 227060 283825 353389 386002 567650 706778 772004 965005 1135300 1413556 1766945 1930010 3533890 3860020 4825025 6007613 7067780 8834725 9650050 12015226 17669450 19300100 24030452 30038065 35338900 60076130 120152260 150190325 300380650 600761300 4012025317 8024050634 16048101268 20060126585 40120253170 68204430389 80240506340 100300632925 136408860778 200601265850 272817721556 341022151945 401202531700 682044303890 1364088607780 1705110759725 3410221519450 6820443038900