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6778064241 = 3213221112
BaseRepresentation
bin1100101000000000…
…10000110101110001
3122111101010100011100
412110000100311301
5102340141023431
63040325235013
7326652411144
oct62400206561
918441110140
106778064241
112969049a93
121391b62a69
1384033b400
144842a805b
1529a0ca4e6
hex194010d71

6778064241 has 27 divisors (see below), whose sum is σ = 10606612107. Its totient is φ = 4169140560.

The previous prime is 6778064233. The next prime is 6778064263. The reversal of 6778064241 is 1424608776.

The square root of 6778064241 is 82329.

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

It can be written as a sum of positive squares in only one way, i.e., 1002672225 + 5775392016 = 31665^2 + 75996^2 .

It is not a de Polignac number, because 6778064241 - 23 = 6778064233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6778064221) 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, 3209776 + ... + 3211886.

Almost surely, 26778064241 is an apocalyptic number.

6778064241 is the 82329-th square number.

6778064241 is the 41165-th centered octagonal number.

It is an amenable number.

6778064241 is a deficient number, since it is larger than the sum of its proper divisors (3828547866).

6778064241 is an equidigital number, since it uses as much as digits as its factorization.

6778064241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The cubic root of 6778064241 is about 1892.4971183689.

The spelling of 6778064241 in words is "six billion, seven hundred seventy-eight million, sixty-four thousand, two hundred forty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 2111 6333 18999 27443 82329 246987 356759 1070277 3210831 4456321 13368963 40106889 57932173 173796519 521389557 753118249 2259354747 6778064241