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6856808448 = 21137159431
BaseRepresentation
bin1100110001011001…
…01001100000000000
3122200212021221220110
412120230221200000
5103020320332243
63052221111320
7331626624120
oct63054514000
918625257813
106856808448
1129a9542746
1213b43b8540
1385374c009
14490924c80
152a1e81e33
hex198b29800

6856808448 has 96 divisors (see below), whose sum is σ = 20891969280. Its totient is φ = 1959075840.

The previous prime is 6856808443. The next prime is 6856808449. The reversal of 6856808448 is 8448086586.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6856808443) by changing a digit.

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, 36708 + ... + 122723.

It is an arithmetic number, because the mean of its divisors is an integer number (217624680).

Almost surely, 26856808448 is an apocalyptic number.

It is an amenable number.

6856808448 is an abundant number, since it is smaller than the sum of its proper divisors (14035160832).

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

6856808448 is a wasteful number, since it uses less digits than its factorization.

6856808448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159463 (or 159443 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 57.

The square root of 6856808448 is about 82805.8479094321. The cubic root of 6856808448 is about 1899.7976190718.

The spelling of 6856808448 in words is "six billion, eight hundred fifty-six million, eight hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 159431 318862 478293 637724 956586 1116017 1275448 1913172 2232034 2550896 3348051 3826344 4464068 5101792 6696102 7652688 8928136 10203584 13392204 15305376 17856272 20407168 26784408 30610752 35712544 40814336 53568816 61221504 71425088 81628672 107137632 122443008 142850176 163257344 214275264 244886016 285700352 326514688 428550528 489772032 571400704 857101056 979544064 1142801408 1714202112 2285602816 3428404224 6856808448