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10144542275 = 52734725171
BaseRepresentation
bin10010111001010100…
…10110111001000011
3222011222202010211222
421130222112321003
5131234000323100
64354344425255
7506251121000
oct113452267103
928158663758
1010144542275
11433636983a
121b7147822b
13c5892814a
146c342a8a7
153e5910485
hex25ca96e43

10144542275 has 48 divisors (see below), whose sum is σ = 14982374400. Its totient is φ = 6807981600.

The previous prime is 10144542217. The next prime is 10144542281. The reversal of 10144542275 is 57224544101.

10144542275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144542275 - 212 = 10144538179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390440 + ... + 415610.

It is an arithmetic number, because the mean of its divisors is an integer number (312132800).

Almost surely, 210144542275 is an apocalyptic number.

10144542275 is a deficient number, since it is larger than the sum of its proper divisors (4837832125).

10144542275 is an equidigital number, since it uses as much as digits as its factorization.

10144542275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25249 (or 25230 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The spelling of 10144542275 in words is "ten billion, one hundred forty-four million, five hundred forty-two thousand, two hundred seventy-five".

Divisors: 1 5 7 25 35 47 49 175 235 245 329 343 1175 1225 1645 1715 2303 8225 8575 11515 16121 25171 57575 80605 125855 176197 403025 629275 880985 1183037 1233379 4404925 5915185 6166895 8281259 8633653 29575925 30834475 41406295 43168265 57968813 207031475 215841325 289844065 405781691 1449220325 2028908455 10144542275