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6102058094073 = 32173710110672393
BaseRepresentation
bin101100011001011111100…
…0000010100110111111001
3210121100110220211220110100
41120302333000110313321
51244434003333002243
620551125150110013
71166600455000014
oct130627700246771
923540426756410
106102058094073
111a42960794047
12826752aab309
13353563377186
141714ac30c37b
15a8addc0d0d3
hex58cbf014df9

6102058094073 has 48 divisors (see below), whose sum is σ = 9679690599696. Its totient is φ = 3688378675200.

The previous prime is 6102058094071. The next prime is 6102058094123. The reversal of 6102058094073 is 3704908502016.

6102058094073 is a `hidden beast` number, since 6 + 1 + 0 + 20 + 580 + 9 + 40 + 7 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3467237650704 + 2634820443369 = 1862052^2 + 1623213^2 .

It is not a de Polignac number, because 6102058094073 - 21 = 6102058094071 is a prime.

It is a super-2 number, since 2×61020580940732 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6102058094071) 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 47 ways as a sum of consecutive naturals, for example, 4764436 + ... + 5907957.

It is an arithmetic number, because the mean of its divisors is an integer number (201660220827).

It is a 1-persistent number, because it is pandigital, but 2⋅6102058094073 = 12204116188146 is not.

Almost surely, 26102058094073 is an apocalyptic number.

It is an amenable number.

6102058094073 is a deficient number, since it is larger than the sum of its proper divisors (3577632505623).

6102058094073 is a wasteful number, since it uses less digits than its factorization.

6102058094073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672554 (or 10672551 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 6102058094073 in words is "six trillion, one hundred two billion, fifty-eight million, ninety-four thousand, seventy-three".

Divisors: 1 3 9 17 37 51 101 111 153 303 333 629 909 1717 1887 3737 5151 5661 11211 15453 33633 63529 190587 571761 10672393 32017179 96051537 181430681 394878541 544292043 1077911693 1184635623 1632876129 3233735079 3553906869 6712935197 9701205237 18324498781 20138805591 39882732641 54973496343 60416416773 119648197923 164920489029 358944593769 678006454897 2034019364691 6102058094073