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20238344145 = 3251014452881
BaseRepresentation
bin10010110110010011…
…001001111111010001
31221020110000101221200
4102312103021333101
5312422004003040
613144121541413
71314345041535
oct226623117721
957213011850
1020238344145
118646021558
123b09944869
131ba6b98b86
14d9dc09bc5
157d6b4b630
hex4b64c9fd1

20238344145 has 24 divisors (see below), whose sum is σ = 35427129192. Its totient is φ = 10686912000.

The previous prime is 20238344129. The next prime is 20238344239. The reversal of 20238344145 is 54144383202.

20238344145 is a `hidden beast` number, since 2 + 0 + 238 + 3 + 4 + 414 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7633342161 + 12605001984 = 87369^2 + 112272^2 .

It is not a de Polignac number, because 20238344145 - 24 = 20238344129 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2221896 + ... + 2230985.

It is an arithmetic number, because the mean of its divisors is an integer number (1476130383).

Almost surely, 220238344145 is an apocalyptic number.

It is an amenable number.

20238344145 is a deficient number, since it is larger than the sum of its proper divisors (15188785047).

20238344145 is a wasteful number, since it uses less digits than its factorization.

20238344145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452993 (or 4452990 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 20238344145 in words is "twenty billion, two hundred thirty-eight million, three hundred forty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 101 303 505 909 1515 4545 4452881 13358643 22264405 40075929 66793215 200379645 449740981 1349222943 2248704905 4047668829 6746114715 20238344145