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10938858921 = 34116212
BaseRepresentation
bin10100011000000000…
…11011110110101001
31001020100101121110000
422030000123312221
5134400321441141
65005241413213
7535034523654
oct121400336651
931210347400
1010938858921
114703778681
12215349a209
13105436b1b3
1475ab1689b
154405135b6
hex28c01bda9

10938858921 has 15 divisors (see below), whose sum is σ = 16342170823. Its totient is φ = 7291945080.

The previous prime is 10938858911. The next prime is 10938858929. The reversal of 10938858921 is 12985883901.

The square root of 10938858921 is 104589.

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

10938858921 is a `hidden beast` number, since 1 + 0 + 9 + 38 + 8 + 589 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 814474521 + 10124384400 = 28539^2 + 100620^2 .

It is not a de Polignac number, because 10938858921 - 29 = 10938858409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10938858929) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 935491 + ... + 947111.

Almost surely, 210938858921 is an apocalyptic number.

10938858921 is the 104589-th square number.

10938858921 is the 52295-th centered octagonal number.

It is an amenable number.

10938858921 is a deficient number, since it is larger than the sum of its proper divisors (5403311902).

10938858921 is an frugal number, since it uses more digits than its factorization.

10938858921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23254 (or 11624 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 10938858921 in words is "ten billion, nine hundred thirty-eight million, eight hundred fifty-eight thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 81 11621 34863 104589 313767 941301 135047641 405142923 1215428769 3646286307 10938858921