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166540842259398 = 232107159595418247
BaseRepresentation
bin100101110111011111001111…
…101111100101001111000110
3210211200011000122101001120200
4211313133033233211033012
5133312101121104300043
61350111450130511330
750036115216144225
oct4567371757451706
9724604018331520
10166540842259398
1149079635821112
1216818893135546
1371c09708b2489
142d1a896934cbc
15143c1998487d3
hex9777cfbe53c6

166540842259398 has 48 divisors (see below), whose sum is σ = 364233702792960. Its totient is φ = 54991339108848.

The previous prime is 166540842259381. The next prime is 166540842259417. The reversal of 166540842259398 is 893952248045661.

166540842259398 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 4 + 0 + 8 + 4 + 22 + 593 + 9 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28027911 + ... + 33446157.

It is an arithmetic number, because the mean of its divisors is an integer number (7588202141520).

Almost surely, 2166540842259398 is an apocalyptic number.

166540842259398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

166540842259398 is an abundant number, since it is smaller than the sum of its proper divisors (197692860533562).

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

166540842259398 is a wasteful number, since it uses less digits than its factorization.

166540842259398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434321 (or 5434318 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 166540842259398 in words is "one hundred sixty-six trillion, five hundred forty billion, eight hundred forty-two million, two hundred fifty-nine thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1926 15959 31918 47877 95754 143631 287262 1707613 3415226 5122839 5418247 10245678 10836494 15368517 16254741 30737034 32509482 48764223 97528446 579752429 1159504858 1739257287 3478514574 5217771861 10435543722 86469803873 172939607746 259409411619 518818823238 778228234857 1556456469714 9252269014411 18504538028822 27756807043233 55513614086466 83270421129699 166540842259398