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10938932217 = 321771496289
BaseRepresentation
bin10100011000000001…
…01101101111111001
31001020100112022222200
422030000231233321
5134400331312332
65005243140413
7535035250443
oct121400555771
931210468880
1010938932217
114703818754
122153514709
131054395675
1475ab35493
1544052a17c
hex28c02dbf9

10938932217 has 12 divisors (see below), whose sum is σ = 16730131860. Its totient is φ = 6863643648.

The previous prime is 10938932201. The next prime is 10938932243. The reversal of 10938932217 is 71223983901.

10938932217 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 2 ways, for example, as 8937622521 + 2001309696 = 94539^2 + 44736^2 .

It is not a de Polignac number, because 10938932217 - 24 = 10938932201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10938932267) 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 11 ways as a sum of consecutive naturals, for example, 35747992 + ... + 35748297.

It is an arithmetic number, because the mean of its divisors is an integer number (1394177655).

Almost surely, 210938932217 is an apocalyptic number.

10938932217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10938932217 is a deficient number, since it is larger than the sum of its proper divisors (5791199643).

10938932217 is a wasteful number, since it uses less digits than its factorization.

10938932217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71496312 (or 71496309 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10938932217 in words is "ten billion, nine hundred thirty-eight million, nine hundred thirty-two thousand, two hundred seventeen".

Divisors: 1 3 9 17 51 153 71496289 214488867 643466601 1215436913 3646310739 10938932217