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6790913649 = 3213221132
BaseRepresentation
bin1100101001100010…
…10001111001110001
3122112021022011020100
412110301101321301
5102401433214044
63041504503013
7330166546032
oct62461217161
918467264210
106790913649
112975325a33
12139631aa69
13842bb9c00
14485c90a89
1529b2b7869
hex194c51e71

6790913649 has 27 divisors (see below), whose sum is σ = 10626714657. Its totient is φ = 4177046016.

The previous prime is 6790913603. The next prime is 6790913663. The reversal of 6790913649 is 9463190976.

The square root of 6790913649 is 82407.

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

6790913649 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5633553249 + 1157360400 = 75057^2 + 34020^2 .

It is not a de Polignac number, because 6790913649 - 221 = 6788816497 is a prime.

It is a super-2 number, since 2×67909136492 = 92233016376348990402, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6790913595 and 6790913604.

It is not an unprimeable number, because it can be changed into a prime (6790913699) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3212817 + ... + 3214929.

Almost surely, 26790913649 is an apocalyptic number.

6790913649 is the 82407-th square number.

6790913649 is the 41204-th centered octagonal number.

It is an amenable number.

6790913649 is a deficient number, since it is larger than the sum of its proper divisors (3835801008).

6790913649 is an equidigital number, since it uses as much as digits as its factorization.

6790913649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4258 (or 2129 counting only the distinct ones).

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

The cubic root of 6790913649 is about 1893.6922539527.

The spelling of 6790913649 in words is "six billion, seven hundred ninety million, nine hundred thirteen thousand, six hundred forty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 2113 6339 19017 27469 82407 247221 357097 1071291 3213873 4464769 13394307 40182921 58041997 174125991 522377973 754545961 2263637883 6790913649