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6928073856 = 27351120249
BaseRepresentation
bin1100111001111001…
…00000010010000000
3122212211101121200000
412130330200102000
5103142041330411
63103244400000
7333453441024
oct63474402200
918784347600
106928073856
112a35798480
121414246000
138654417b2
1449a196384
152a835c956
hex19cf20480

6928073856 has 192 divisors, whose sum is σ = 22555260000. Its totient is φ = 2099312640.

The previous prime is 6928073849. The next prime is 6928073897. The reversal of 6928073856 is 6583708296.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 332020 + ... + 352268.

Almost surely, 26928073856 is an apocalyptic number.

6928073856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6928073856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11277630000).

6928073856 is an abundant number, since it is smaller than the sum of its proper divisors (15627186144).

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

6928073856 is a wasteful number, since it uses less digits than its factorization.

6928073856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20289 (or 20265 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 6928073856 is about 83235.0518471635. The cubic root of 6928073856 is about 1906.3567196854.

The spelling of 6928073856 in words is "six billion, nine hundred twenty-eight million, seventy-three thousand, eight hundred fifty-six".