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6790029696 = 2732193110007
BaseRepresentation
bin1100101001011011…
…11010000110000000
3122112012122020200100
412110231322012000
5102401221422241
63041433522400
7330156204642
oct62455720600
918465566610
106790029696
11297488189a
121395b73400
1384296a768
14485b00892
1529b1909b6
hex194b7a180

6790029696 has 192 divisors, whose sum is σ = 21232972800. Its totient is φ = 2074844160.

The previous prime is 6790029643. The next prime is 6790029703. The reversal of 6790029696 is 6969200976.

It is a happy number.

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

It is a super-2 number, since 2×67900296962 = 92209006545123704832, which contains 22 as substring.

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, 673525 + ... + 683531.

It is an arithmetic number, because the mean of its divisors is an integer number (110588400).

Almost surely, 26790029696 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 6790029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10616486400).

6790029696 is an abundant number, since it is smaller than the sum of its proper divisors (14442943104).

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

6790029696 is a wasteful number, since it uses less digits than its factorization.

6790029696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10077 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 6790029696 is about 82401.6364886038. The cubic root of 6790029696 is about 1893.6100849608.

The spelling of 6790029696 in words is "six billion, seven hundred ninety million, twenty-nine thousand, six hundred ninety-six".