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166082331024 = 2432339612
BaseRepresentation
bin1001101010101101000…
…1110100000110010000
3120212200120012120121100
42122223101310012100
510210114034043044
6204144104424400
714666450343501
oct2325321640620
9525616176540
10166082331024
1164487167515
1228230778100
131287a400a6c
148077634ba8
1544c0939869
hex26ab474190

166082331024 has 45 divisors (see below), whose sum is σ = 464813543649. Its totient is φ = 55359146880.

The previous prime is 166082330917. The next prime is 166082331029. The reversal of 166082331024 is 420133280661.

The square root of 166082331024 is 407532.

It is a perfect power (a square), and thus also a powerful number.

166082331024 is a `hidden beast` number, since 1 + 6 + 608 + 2 + 33 + 10 + 2 + 4 = 666.

166082331024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8123777424 + 157958553600 = 90132^2 + 397440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 166082331024.

It is not an unprimeable number, because it can be changed into a prime (166082331029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4873404 + ... + 4907364.

Almost surely, 2166082331024 is an apocalyptic number.

166082331024 is the 407532-nd square number.

It is an amenable number.

166082331024 is an abundant number, since it is smaller than the sum of its proper divisors (298731212625).

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

166082331024 is an frugal number, since it uses more digits than its factorization.

166082331024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67936 (or 33966 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 166082331024 by its sum of digits (36), we get a square (5978963916864 = 24451922).

166082331024 divided by its sum of digits (36) gives a square (4613398084 = 679222).

The spelling of 166082331024 in words is "one hundred sixty-six billion, eighty-two million, three hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 33961 67922 101883 135844 203766 271688 305649 407532 543376 611298 815064 1222596 1630128 2445192 4890384 1153349521 2306699042 3460048563 4613398084 6920097126 9226796168 10380145689 13840194252 18453592336 20760291378 27680388504 41520582756 55360777008 83041165512 166082331024