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10886626921 = 103210132
BaseRepresentation
bin10100010001110010…
…01011111001101001
31001002201002221121111
422020321023321221
5134243434030141
65000134110321
7533531542042
oct121071137151
931081087544
1010886626921
114687242a35
122139aab3a1
1310465b0ba1
14753bdb8c9
1543ab47381
hex288e4be69

10886626921 has 9 divisors (see below), whose sum is σ = 11004211479. Its totient is φ = 10770288936.

The previous prime is 10886626871. The next prime is 10886626937. The reversal of 10886626921 is 12962668801.

The square root of 10886626921 is 104339.

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

10886626921 is digitally balanced in base 2, 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 only one way, i.e., 21483225 + 10865143696 = 4635^2 + 104236^2 .

It is not a de Polignac number, because 10886626921 - 215 = 10886594153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10886626981) 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 8 ways as a sum of consecutive naturals, for example, 10746411 + ... + 10747423.

Almost surely, 210886626921 is an apocalyptic number.

10886626921 is the 104339-th square number.

10886626921 is the 52170-th centered octagonal number.

It is an amenable number.

10886626921 is a deficient number, since it is larger than the sum of its proper divisors (117584558).

10886626921 is an frugal number, since it uses more digits than its factorization.

10886626921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

Multiplying 10886626921 by its sum of digits (49), we get a square (533444719129 = 7303732).

The spelling of 10886626921 in words is "ten billion, eight hundred eighty-six million, six hundred twenty-six thousand, nine hundred twenty-one".

Divisors: 1 103 1013 10609 104339 1026169 10746917 105695407 10886626921