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8202143844 = 2232281810809
BaseRepresentation
bin1111010001110001…
…01100100001100100
3210011121210002010100
413220320230201210
5113244222100334
63433520224100
7410154033546
oct75070544144
923147702110
108202143844
113529995084
12170aa6b030
13a0939b16b
1457b487696
15330129c99
hex1e8e2c864

8202143844 has 36 divisors (see below), whose sum is σ = 20807006220. Its totient is φ = 2724314880.

The previous prime is 8202143837. The next prime is 8202143879. The reversal of 8202143844 is 4483412028.

It can be written as a sum of positive squares in 2 ways, for example, as 1943751744 + 6258392100 = 44088^2 + 79110^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8202143799 and 8202143808.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395289 + ... + 415520.

It is an arithmetic number, because the mean of its divisors is an integer number (577972395).

Almost surely, 28202143844 is an apocalyptic number.

It is an amenable number.

8202143844 is an abundant number, since it is smaller than the sum of its proper divisors (12604862376).

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

8202143844 is a wasteful number, since it uses less digits than its factorization.

8202143844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811100 (or 811095 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 8202143844 is about 90565.6880059993. The cubic root of 8202143844 is about 2016.7053966956.

The spelling of 8202143844 in words is "eight billion, two hundred two million, one hundred forty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1124 1686 2529 3372 5058 10116 810809 1621618 2432427 3243236 4864854 7297281 9729708 14594562 29189124 227837329 455674658 683511987 911349316 1367023974 2050535961 2734047948 4101071922 8202143844