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145634581105 = 51317532486717
BaseRepresentation
bin1000011110100001111…
…1110101101001110001
3111220220112011020221021
42013220133311221301
54341224423043410
6150523102255441
713343650341316
oct2075037655161
9456815136837
10145634581105
1156843a19342
1224284887581
131096c036660
147097ab8d0d
153bc5726eda
hex21e87f5a71

145634581105 has 32 divisors (see below), whose sum is σ = 203035551264. Its totient is φ = 99309490176.

The previous prime is 145634581097. The next prime is 145634581109. The reversal of 145634581105 is 501185436541.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 20183316624 + 125451264481 = 142068^2 + 354191^2 .

It is not a de Polignac number, because 145634581105 - 23 = 145634581097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145634581109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184794 + ... + 1301923.

It is an arithmetic number, because the mean of its divisors is an integer number (6344860977).

Almost surely, 2145634581105 is an apocalyptic number.

It is an amenable number.

145634581105 is a deficient number, since it is larger than the sum of its proper divisors (57400970159).

145634581105 is a wasteful number, since it uses less digits than its factorization.

145634581105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486805.

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 145634581105 in words is "one hundred forty-five billion, six hundred thirty-four million, five hundred eighty-one thousand, one hundred five".

Divisors: 1 5 13 17 53 65 85 221 265 689 901 1105 3445 4505 11713 58565 2486717 12433585 32327321 42274189 131796001 161636605 211370945 549564457 658980005 1713348013 2240532017 2747822285 8566740065 11202660085 29126916221 145634581105