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168324062975712 = 2536731933067
BaseRepresentation
bin100110010001011011111111…
…111110110001011011100000
3211001222121211100202022000000
4212101123333332301123200
5134030310140110210322
61353555001303300000
750312004124143000
oct4621337776613340
9731877740668000
10168324062975712
11496a691a3945a6
1216a663b814a600
1372bcb77792a47
142d7ccdca7a000
15146d7662773ac
hex9916fffb16e0

168324062975712 has 1344 divisors, whose sum is σ = 611807257152000. Its totient is φ = 45546545140992.

The previous prime is 168324062975711. The next prime is 168324062975797. The reversal of 168324062975712 is 217579260423861.

It is a happy number.

168324062975712 is a `hidden beast` number, since 1 + 6 + 8 + 32 + 4 + 0 + 6 + 29 + 7 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 168324062975712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168324062975711) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 54882314403 + ... + 54882317469.

It is an arithmetic number, because the mean of its divisors is an integer number (455213733000).

It is a 1-persistent number, because it is pandigital, but 2⋅168324062975712 = 336648125951424 is not.

Almost surely, 2168324062975712 is an apocalyptic number.

168324062975712 is a gapful number since it is divisible by the number (12) 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 168324062975712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305903628576000).

168324062975712 is an abundant number, since it is smaller than the sum of its proper divisors (443483194176288).

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

168324062975712 is an frugal number, since it uses more digits than its factorization.

168324062975712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 168324062975712 in words is "one hundred sixty-eight trillion, three hundred twenty-four billion, sixty-two million, nine hundred seventy-five thousand, seven hundred twelve".