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168394827042 = 23413347230431
BaseRepresentation
bin1001110011010100011…
…1010010010100100010
3121002122201120112210000
42130311013102110202
510224333033431132
6205205353320430
715110660261421
oct2346507222442
9532581515700
10168394827042
1165463542a52
1228777106116
1312b5852c8c0
1482167d72b8
1545a897887c
hex27351d2522

168394827042 has 80 divisors (see below), whose sum is σ = 407527287552. Its totient is φ = 51664249440.

The previous prime is 168394826987. The next prime is 168394827043. The reversal of 168394827042 is 240728493861.

168394827042 is a `hidden beast` number, since 1 + 68 + 39 + 482 + 70 + 4 + 2 = 666.

168394827042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 168394827042.

It is not an unprimeable number, because it can be changed into a prime (168394827043) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 615567 + ... + 845997.

Almost surely, 2168394827042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168394827042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203763643776).

168394827042 is an abundant number, since it is smaller than the sum of its proper divisors (239132460510).

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

168394827042 is a wasteful number, since it uses less digits than its factorization.

168394827042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230805 (or 230796 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 168394827042 in words is "one hundred sixty-eight billion, three hundred ninety-four million, eight hundred twenty-seven thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 347 351 694 702 1041 1053 2082 2106 3123 4511 6246 9022 9369 13533 18738 27066 28107 40599 56214 81198 121797 230431 243594 365391 460862 691293 730782 1382586 2073879 2995603 4147758 5991206 6221637 8986809 12443274 17973618 18664911 26960427 37329822 53920854 79959557 80881281 159919114 161762562 239878671 242643843 479757342 485287686 719636013 1039474241 1439272026 2078948482 2158908039 3118422723 4317816078 6236845446 6476724117 9355268169 12953448234 18710536338 28065804507 56131609014 84197413521 168394827042