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10014346485 = 325111317312953
BaseRepresentation
bin10010101001110011…
…01100110011110101
3221211220202111210200
421110321230303311
5131002133041420
64333414111113
7503110353303
oct112471546365
927756674720
1010014346485
114279923810
121b3594b499
13c37971510
146b0019273
153d9293b90
hex254e6ccf5

10014346485 has 192 divisors, whose sum is σ = 22296508416. Its totient is φ = 4080844800.

The previous prime is 10014346453. The next prime is 10014346499. The reversal of 10014346485 is 58464341001.

10014346485 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 3 + 4 + 648 + 5 = 666.

It is not a de Polignac number, because 10014346485 - 25 = 10014346453 is a prime.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 3389769 + ... + 3392721.

It is an arithmetic number, because the mean of its divisors is an integer number (116127648).

Almost surely, 210014346485 is an apocalyptic number.

10014346485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10014346485 is an abundant number, since it is smaller than the sum of its proper divisors (12282161931).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10014346485 is a wasteful number, since it uses less digits than its factorization.

10014346485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 10014346485 its reverse (58464341001), we get a palindrome (68478687486).

The spelling of 10014346485 in words is "ten billion, fourteen million, three hundred forty-six thousand, four hundred eighty-five".