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10523165445 = 3251317988317
BaseRepresentation
bin10011100110011101…
…01100001100000101
31000011101012012012100
421303032230030011
5133022412243240
64500111542313
7521526300432
oct116316541405
930141165170
1010523165445
114510063a51
12205822a999
13cb91c3720
1471b828b89
15418c9ee30
hex2733ac305

10523165445 has 24 divisors (see below), whose sum is σ = 19643243256. Its totient is φ = 5180635008.

The previous prime is 10523165441. The next prime is 10523165453. The reversal of 10523165445 is 54456132501.

10523165445 is a `hidden beast` number, since 1 + 0 + 52 + 3 + 165 + 445 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1723412196 + 8799753249 = 41514^2 + 93807^2 .

It is not a de Polignac number, because 10523165445 - 22 = 10523165441 is a prime.

It is a super-2 number, since 2×105231654452 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523165441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8993574 + ... + 8994743.

It is an arithmetic number, because the mean of its divisors is an integer number (818468469).

Almost surely, 210523165445 is an apocalyptic number.

10523165445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10523165445 is a deficient number, since it is larger than the sum of its proper divisors (9120077811).

10523165445 is a wasteful number, since it uses less digits than its factorization.

10523165445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17988341 (or 17988338 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 10523165445 its reverse (54456132501), we get a palindrome (64979297946).

The spelling of 10523165445 in words is "ten billion, five hundred twenty-three million, one hundred sixty-five thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 17988317 53964951 89941585 161894853 233848121 269824755 701544363 809474265 1169240605 2104633089 3507721815 10523165445