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168199639892856 = 23331121343103111773
BaseRepresentation
bin100110001111101000000111…
…110010011000001101111000
3211001112201200002202210111000
4212033220013302120031320
5134021240330303032411
61353421503045005000
750300010606323205
oct4617500762301570
9731481602683430
10168199639892856
1149659080844900
1216a462730b3760
1372b1209122cb0
142d76c9812acac
15146a3d2d28956
hex98fa07c98378

168199639892856 has 768 divisors, whose sum is σ = 571423024972800. Its totient is φ = 45508121809920.

The previous prime is 168199639892831. The next prime is 168199639892857. The reversal of 168199639892856 is 658298936991861.

168199639892856 is a `hidden beast` number, since 1 + 6 + 8 + 199 + 6 + 398 + 9 + 28 + 5 + 6 = 666.

It is a super-2 number, since 2×1681996398928562 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168199639892857) 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 191 ways as a sum of consecutive naturals, for example, 1504776586 + ... + 1504888358.

It is an arithmetic number, because the mean of its divisors is an integer number (744040397100).

Almost surely, 2168199639892856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168199639892856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285711512486400).

168199639892856 is an abundant number, since it is smaller than the sum of its proper divisors (403223385079944).

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

168199639892856 is a wasteful number, since it uses less digits than its factorization.

168199639892856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111969 (or 111948 counting only the distinct ones).

The product of its digits is 21767823360, while the sum is 90.

The spelling of 168199639892856 in words is "one hundred sixty-eight trillion, one hundred ninety-nine billion, six hundred thirty-nine million, eight hundred ninety-two thousand, eight hundred fifty-six".