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166421206176 = 2538292091139
BaseRepresentation
bin1001101011111101111…
…0100001010010100000
3120220120011212012220220
42122333132201102200
510211312312044201
6204241452003040
715011033624631
oct2327736412240
9526504765826
10166421206176
1164640483425
1228306160480
13129026903c4
1480aa647888
1544e0577036
hex26bf7a14a0

166421206176 has 48 divisors (see below), whose sum is σ = 437382842400. Its totient is φ = 55406792448.

The previous prime is 166421206163. The next prime is 166421206183. The reversal of 166421206176 is 671602124661.

166421206176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1664212061763 (a number of 35 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 965986 + ... + 1125153.

It is an arithmetic number, because the mean of its divisors is an integer number (9112142550).

Almost surely, 2166421206176 is an apocalyptic number.

166421206176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166421206176 is an abundant number, since it is smaller than the sum of its proper divisors (270961636224).

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

166421206176 is a wasteful number, since it uses less digits than its factorization.

166421206176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091981 (or 2091973 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 166421206176 in words is "one hundred sixty-six billion, four hundred twenty-one million, two hundred six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 829 1658 2487 3316 4974 6632 9948 13264 19896 26528 39792 79584 2091139 4182278 6273417 8364556 12546834 16729112 25093668 33458224 50187336 66916448 100374672 200749344 1733554231 3467108462 5200662693 6934216924 10401325386 13868433848 20802650772 27736867696 41605301544 55473735392 83210603088 166421206176