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10677827658 = 238321441421
BaseRepresentation
bin10011111000111001…
…01011100001001010
31000120011012211212110
421330130223201022
5133332010441113
64523314523150
7525415015611
oct117434534112
930504184773
1010677827658
11458a39aa63
12209bb964b6
131012265724
147341a8878
15427650bc3
hex27c72b84a

10677827658 has 16 divisors (see below), whose sum is σ = 21612953376. Its totient is φ = 3516392880.

The previous prime is 10677827647. The next prime is 10677827659. The reversal of 10677827658 is 85672877601.

10677827658 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 2×106778276582 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10677827598 and 10677827607.

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 7 ways as a sum of consecutive naturals, for example, 10720213 + ... + 10721208.

It is an arithmetic number, because the mean of its divisors is an integer number (1350809586).

Almost surely, 210677827658 is an apocalyptic number.

10677827658 is an abundant number, since it is smaller than the sum of its proper divisors (10935125718).

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

10677827658 is a wasteful number, since it uses less digits than its factorization.

10677827658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21441509.

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 10677827658 in words is "ten billion, six hundred seventy-seven million, eight hundred twenty-seven thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 83 166 249 498 21441421 42882842 64324263 128648526 1779637943 3559275886 5338913829 10677827658