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6896280640 = 26527777801
BaseRepresentation
bin1100110110000110…
…01110010001000000
3122210121120100120111
412123003032101000
5103110421440030
63100151121104
7332616263314
oct63303162100
918717510514
106896280640
112a19852797
121405673194
1385b98c542
14495c7bb44
152a567c62a
hex19b0ce440

6896280640 has 56 divisors (see below), whose sum is σ = 16481264472. Its totient is φ = 2748518400.

The previous prime is 6896280637. The next prime is 6896280653. The reversal of 6896280640 is 460826986.

It can be written as a sum of positive squares in 4 ways, for example, as 186704896 + 6709575744 = 13664^2 + 81912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49740 + ... + 127540.

Almost surely, 26896280640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6896280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240632236).

6896280640 is an abundant number, since it is smaller than the sum of its proper divisors (9584983832).

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

6896280640 is a wasteful number, since it uses less digits than its factorization.

6896280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78095 (or 78085 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The square root of 6896280640 is about 83043.8476950581. The cubic root of 6896280640 is about 1903.4361310755.

The spelling of 6896280640 in words is "six billion, eight hundred ninety-six million, two hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 277 320 554 1108 1385 2216 2770 4432 5540 8864 11080 17728 22160 44320 77801 88640 155602 311204 389005 622408 778010 1244816 1556020 2489632 3112040 4979264 6224080 12448160 21550877 24896320 43101754 86203508 107754385 172407016 215508770 344814032 431017540 689628064 862035080 1379256128 1724070160 3448140320 6896280640