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168868681184 = 2572349308587
BaseRepresentation
bin1001110101000101011…
…0111001010111100000
3121010212202012211110102
42131101112321113200
510231320340244214
6205324401521532
715125503051400
oct2352126712740
9533782184412
10168868681184
1165686a71645
12288899432a8
1312c0275c078
14825d704800
1545d5379bde
hex27515b95e0

168868681184 has 72 divisors (see below), whose sum is σ = 387848827800. Its totient is φ = 72164687616.

The previous prime is 168868681169. The next prime is 168868681237. The reversal of 168868681184 is 481186868861.

168868681184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 168868681184.

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 11 ways as a sum of consecutive naturals, for example, 392939 + ... + 701525.

It is an arithmetic number, because the mean of its divisors is an integer number (5386789275).

Almost surely, 2168868681184 is an apocalyptic number.

168868681184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168868681184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193924413900).

168868681184 is an abundant number, since it is smaller than the sum of its proper divisors (218980146616).

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

168868681184 is a wasteful number, since it uses less digits than its factorization.

168868681184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308960 (or 308945 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 65.

The spelling of 168868681184 in words is "one hundred sixty-eight billion, eight hundred sixty-eight million, six hundred eighty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 349 392 698 784 1396 1568 2443 2792 4886 5584 9772 11168 17101 19544 34202 39088 68404 78176 136808 273616 308587 547232 617174 1234348 2160109 2468696 4320218 4937392 8640436 9874784 15120763 17280872 30241526 34561744 60483052 69123488 107696863 120966104 215393726 241932208 430787452 483864416 753878041 861574904 1507756082 1723149808 3015512164 3446299616 5277146287 6031024328 10554292574 12062048656 21108585148 24124097312 42217170296 84434340592 168868681184