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6828680957 = 72203442817
BaseRepresentation
bin1100101110000010…
…10110011011111101
3122121220100221020112
412113001112123331
5102441120242312
63045334155405
7331135554560
oct62701263375
918556327215
106828680957
11299468108a
1213a6ab2b65
1384a981427
1448acc24d7
1529e777d22
hex1970566fd

6828680957 has 8 divisors (see below), whose sum is σ = 7807766976. Its totient is φ = 5850484992.

The previous prime is 6828680897. The next prime is 6828680983. The reversal of 6828680957 is 7590868286.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6828680957 - 26 = 6828680893 is a prime.

It is a super-2 number, since 2×68286809572 = 93261767224988871698, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6828680896 and 6828680905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6828683957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205988 + ... + 236829.

It is an arithmetic number, because the mean of its divisors is an integer number (975970872).

Almost surely, 26828680957 is an apocalyptic number.

It is an amenable number.

6828680957 is a deficient number, since it is larger than the sum of its proper divisors (979086019).

6828680957 is a wasteful number, since it uses less digits than its factorization.

6828680957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445027.

The product of its (nonzero) digits is 11612160, while the sum is 59.

The square root of 6828680957 is about 82635.8333714860. The cubic root of 6828680957 is about 1897.1963225834.

The spelling of 6828680957 in words is "six billion, eight hundred twenty-eight million, six hundred eighty thousand, nine hundred fifty-seven".

Divisors: 1 7 2203 15421 442817 3099719 975525851 6828680957