Search a number
-
+
10938440569 = 726722232
BaseRepresentation
bin10100010111111101…
…10101101101111001
31001020022121100120111
422023332311231321
5134400220044234
65005224424321
7535031132200
oct121376655571
931208540514
1010938440569
114703512331
1221533180a1
131054252954
1475aa48237
1544047e664
hex28bfb5b79

10938440569 has 27 divisors (see below), whose sum is σ = 12975241797. Its totient is φ = 9194452344.

The previous prime is 10938440561. The next prime is 10938440609. The reversal of 10938440569 is 96504483901.

It is a happy number.

The square root of 10938440569 is 104587.

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

It is not a de Polignac number, because 10938440569 - 23 = 10938440561 is a prime.

It is a super-2 number, since 2×109384405692 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (10938440561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49051192 + ... + 49051414.

It is an arithmetic number, because the mean of its divisors is an integer number (480564511).

Almost surely, 210938440569 is an apocalyptic number.

10938440569 is the 104587-th square number.

10938440569 is the 52294-th centered octagonal number.

It is an amenable number.

10938440569 is a deficient number, since it is larger than the sum of its proper divisors (2036801228).

10938440569 is an frugal number, since it uses more digits than its factorization.

10938440569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 10938440569 by its sum of digits (49), we get a square (535983587881 = 7321092).

10938440569 divided by its sum of digits (49) gives a square (223233481 = 149412).

The spelling of 10938440569 in words is "ten billion, nine hundred thirty-eight million, four hundred forty thousand, five hundred sixty-nine".

Divisors: 1 7 49 67 223 469 1561 3283 4489 10927 14941 31423 49729 104587 219961 348103 732109 1001047 2436721 3331843 7007329 23322901 49051303 163260307 223233481 1562634367 10938440569