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6000008000058 = 2322341353482267
BaseRepresentation
bin101011101001111110001…
…0110000111001000111010
3210020121001212120222220200
41113103330112013020322
51241301004022000213
620432210550303030
71156325535341022
oct127237426071072
923217055528820
106000008000058
111a03653106a76
1280aa12657a76
13346a4bc01267
1416a58acb2a82
15a6119a18273
hex574fc58723a

6000008000058 has 48 divisors (see below), whose sum is σ = 13896094919616. Its totient is φ = 1866386364480.

The previous prime is 6000008000047. The next prime is 6000008000059. The reversal of 6000008000058 is 8500008000006.

6000008000058 is a `hidden beast` number, since 600 + 0 + 0 + 0 + 8 + 0 + 0 + 0 + 0 + 58 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6000007999995 and 6000008000040.

It is not an unprimeable number, because it can be changed into a prime (6000008000059) 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 23 ways as a sum of consecutive naturals, for example, 176724160 + ... + 176758107.

It is an arithmetic number, because the mean of its divisors is an integer number (289501977492).

Almost surely, 26000008000058 is an apocalyptic number.

6000008000058 is an abundant number, since it is smaller than the sum of its proper divisors (7896086919558).

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

6000008000058 is a wasteful number, since it uses less digits than its factorization.

6000008000058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353482339 (or 353482336 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 6000008000058 in words is "six trillion, eight million, fifty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 207 246 369 414 738 943 1886 2829 5658 8487 16974 353482267 706964534 1060446801 2120893602 3181340403 6362680806 8130092141 14492772947 16260184282 24390276423 28985545894 43478318841 48780552846 73170829269 86956637682 130434956523 146341658538 260869913046 333333777781 666667555562 1000001333343 2000002666686 3000004000029 6000008000058