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10677827657 = 71525403951
BaseRepresentation
bin10011111000111001…
…01011100001001001
31000120011012211212102
421330130223201021
5133332010441112
64523314523145
7525415015610
oct117434534111
930504184772
1010677827657
11458a39aa62
12209bb964b5
131012265723
147341a8877
15427650bc2
hex27c72b849

10677827657 has 4 divisors (see below), whose sum is σ = 12203231616. Its totient is φ = 9152423700.

The previous prime is 10677827647. The next prime is 10677827659. The reversal of 10677827657 is 75672877601.

It is a happy number.

10677827657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10677827657 - 26 = 10677827593 is a prime.

It is a super-2 number, since 2×106778276572 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10677827659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 762701969 + ... + 762701982.

It is an arithmetic number, because the mean of its divisors is an integer number (3050807904).

Almost surely, 210677827657 is an apocalyptic number.

It is an amenable number.

10677827657 is a deficient number, since it is larger than the sum of its proper divisors (1525403959).

10677827657 is an equidigital number, since it uses as much as digits as its factorization.

10677827657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525403958.

The product of its (nonzero) digits is 6914880, while the sum is 56.

The spelling of 10677827657 in words is "ten billion, six hundred seventy-seven million, eight hundred twenty-seven thousand, six hundred fifty-seven".

Divisors: 1 7 1525403951 10677827657