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6792397056 = 28321721012
BaseRepresentation
bin1100101001101101…
…11100000100000000
3122112101002112002100
412110312330010000
5102402323201211
63042000350400
7330215264604
oct62466740400
918471075070
106792397056
112976149495
121396915400
138432b9173
14486159504
1529b4ac156
hex194dbc100

6792397056 has 243 divisors, whose sum is σ = 21011948503. Its totient is φ = 2109849600.

The previous prime is 6792397033. The next prime is 6792397067. The reversal of 6792397056 is 6507932976.

The square root of 6792397056 is 82416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4044960000 + 2747437056 = 63600^2 + 52416^2 .

It is a super-2 number, since 2×67923970562 = 92273315532714934272, 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 = 6792396993 and 6792397011.

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 26 ways as a sum of consecutive naturals, for example, 67251406 + ... + 67251506.

Almost surely, 26792397056 is an apocalyptic number.

6792397056 is the 82416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6792397056

6792397056 is an abundant number, since it is smaller than the sum of its proper divisors (14219551447).

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

6792397056 is a wasteful number, since it uses less digits than its factorization.

6792397056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The cubic root of 6792397056 is about 1893.8301299428.

The spelling of 6792397056 in words is "six billion, seven hundred ninety-two million, three hundred ninety-seven thousand, fifty-six".