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166021443521514 = 232737791075877177
BaseRepresentation
bin100101101111111011100001…
…001010101000101111101010
3210202211111100212000100122200
4211233323201022220233222
5133230043404020142024
61345033110453201030
746653440065544460
oct4557734112505752
9722744325010580
10166021443521514
1148999331774839
1216754099630176
1371839a7807c99
142cdd6a3220830
15142d8eab662c9
hex96fee12a8bea

166021443521514 has 384 divisors, whose sum is σ = 432347262197760. Its totient is φ = 45059411524608.

The previous prime is 166021443521497. The next prime is 166021443521617. The reversal of 166021443521514 is 415125344120661.

166021443521514 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 2 + 1 + 443 + 52 + 151 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 166021443521514.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23132425494 + ... + 23132432670.

It is an arithmetic number, because the mean of its divisors is an integer number (1125904328640).

Almost surely, 2166021443521514 is an apocalyptic number.

166021443521514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166021443521514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216173631098880).

166021443521514 is an abundant number, since it is smaller than the sum of its proper divisors (266325818676246).

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

166021443521514 is a wasteful number, since it uses less digits than its factorization.

166021443521514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002 (or 7999 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 166021443521514 in words is "one hundred sixty-six trillion, twenty-one billion, four hundred forty-three million, five hundred twenty-one thousand, five hundred fourteen".