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6830647296 = 211311211479
BaseRepresentation
bin1100101110010001…
…10110100000000000
3122122001001211112220
412113020312200000
5102442121203141
63045444251040
7331161354414
oct62710664000
918561054486
106830647296
1129957a4460
1213a76a0a80
1384b1bc445
1448b274d44
1529ea15766
hex197236800

6830647296 has 192 divisors, whose sum is σ = 20001945600. Its totient is φ = 2055782400.

The previous prime is 6830647267. The next prime is 6830647319. The reversal of 6830647296 is 6927460386.

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 2×68306472962 = 93315484964704223232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14259985 + ... + 14260463.

It is an arithmetic number, because the mean of its divisors is an integer number (104176800).

Almost surely, 26830647296 is an apocalyptic number.

6830647296 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 6830647296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10000972800).

6830647296 is an abundant number, since it is smaller than the sum of its proper divisors (13171298304).

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

6830647296 is a wasteful number, since it uses less digits than its factorization.

6830647296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The square root of 6830647296 is about 82647.7301321700. The cubic root of 6830647296 is about 1897.3784062161.

The spelling of 6830647296 in words is "six billion, eight hundred thirty million, six hundred forty-seven thousand, two hundred ninety-six".