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677006766 = 23237611487
BaseRepresentation
bin101000010110100…
…100110110101110
31202011220111200200
4220112210312232
52341303204031
6151102334330
722530314442
oct5026446656
91664814620
10677006766
11318175227
1216a88a3a6
13aa34b727
1465cb0822
153e67e8e6
hex285a4dae

677006766 has 12 divisors (see below), whose sum is σ = 1466848032. Its totient is φ = 225668916.

The previous prime is 677006761. The next prime is 677006779. The reversal of 677006766 is 667600776.

It is a happy number.

677006766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6770067662 = 916676322419557512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677006761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18805726 + ... + 18805761.

It is an arithmetic number, because the mean of its divisors is an integer number (122237336).

Almost surely, 2677006766 is an apocalyptic number.

677006766 is an abundant number, since it is smaller than the sum of its proper divisors (789841266).

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

677006766 is a wasteful number, since it uses less digits than its factorization.

677006766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37611495 (or 37611492 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 677006766 is about 26019.3536814426. The cubic root of 677006766 is about 878.0737679798.

The spelling of 677006766 in words is "six hundred seventy-seven million, six thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 37611487 75222974 112834461 225668922 338503383 677006766