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23145405345 = 34557149149
BaseRepresentation
bin10101100011100100…
…101101101110100001
32012202001011102020000
4111203210231232201
5334400210432340
614344410210213
71446364461606
oct254344555641
965661142200
1023145405345
1198a7a83677
12459b423969
13224b23c92a
141197d3c6ad
15906e82d30
hex56392dba1

23145405345 has 20 divisors (see below), whose sum is σ = 41490282900. Its totient is φ = 12344215968.

The previous prime is 23145405317. The next prime is 23145405391. The reversal of 23145405345 is 54350454132.

23145405345 is a `hidden beast` number, since 23 + 1 + 4 + 540 + 53 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8302125456 + 14843279889 = 91116^2 + 121833^2 .

It is not a de Polignac number, because 23145405345 - 211 = 23145403297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28574170 + ... + 28574979.

It is an arithmetic number, because the mean of its divisors is an integer number (2074514145).

Almost surely, 223145405345 is an apocalyptic number.

It is an amenable number.

23145405345 is a deficient number, since it is larger than the sum of its proper divisors (18344877555).

23145405345 is an equidigital number, since it uses as much as digits as its factorization.

23145405345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57149166 (or 57149157 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 23145405345 its reverse (54350454132), we get a palindrome (77495859477).

The spelling of 23145405345 in words is "twenty-three billion, one hundred forty-five million, four hundred five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 57149149 171447447 285745745 514342341 857237235 1543027023 2571711705 4629081069 7715135115 23145405345