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55080860179752 = 233211233383779329
BaseRepresentation
bin11001000011000100000110…
…00110101101110100101000
321020000200022211222010100100
430201202003012231310220
524204421100201223002
6313051444200105400
714413314030364461
oct1441420306556450
9236020284863310
1055080860179752
1116606730686490
126217058765260
132497144bb2944
14d85cdc07bd68
15657ba611311c
hex3218831add28

55080860179752 has 192 divisors, whose sum is σ = 163864294963200. Its totient is φ = 16576119521280.

The previous prime is 55080860179747. The next prime is 55080860179789. The reversal of 55080860179752 is 25797106808055.

55080860179752 is a `hidden beast` number, since 5 + 508 + 0 + 8 + 6 + 0 + 1 + 79 + 7 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55080860179752.

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 47 ways as a sum of consecutive naturals, for example, 70287624 + ... + 71066952.

It is an arithmetic number, because the mean of its divisors is an integer number (853459869600).

Almost surely, 255080860179752 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 55080860179752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81932147481600).

55080860179752 is an abundant number, since it is smaller than the sum of its proper divisors (108783434783448).

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

55080860179752 is a wasteful number, since it uses less digits than its factorization.

55080860179752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779968 (or 779961 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 63.

The spelling of 55080860179752 in words is "fifty-five trillion, eighty billion, eight hundred sixty million, one hundred seventy-nine thousand, seven hundred fifty-two".