Search a number
-
+
1006015060341 = 32111779451149
BaseRepresentation
bin11101010001110110010…
…10111001100101110101
310120011200220211011001200
432220323022321211311
5112440304323412331
62050053522043113
7132452663631054
oct16507312714565
93504626734050
101006015060341
11358715302845
12142b804a9499
1373b36508545
143699725639b
151b27e8765e6
hexea3b2b9975

1006015060341 has 6 divisors (see below), whose sum is σ = 1453132864950. Its totient is φ = 670676706888.

The previous prime is 1006015060339. The next prime is 1006015060363. The reversal of 1006015060341 is 1430605106001.

1006015060341 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 1 + 50 + 603 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 653599487025 + 352415573316 = 808455^2 + 593646^2 .

It is not a de Polignac number, because 1006015060341 - 21 = 1006015060339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006015060541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55889725566 + ... + 55889725583.

It is an arithmetic number, because the mean of its divisors is an integer number (242188810825).

Almost surely, 21006015060341 is an apocalyptic number.

It is an amenable number.

1006015060341 is a deficient number, since it is larger than the sum of its proper divisors (447117804609).

1006015060341 is a wasteful number, since it uses less digits than its factorization.

1006015060341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111779451155 (or 111779451152 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 1006015060341 in words is "one trillion, six billion, fifteen million, sixty thousand, three hundred forty-one".

Divisors: 1 3 9 111779451149 335338353447 1006015060341