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166373064 = 2332112132113
BaseRepresentation
bin10011110101010…
…10011011001000
3102121001121221100
421322222123020
5320042414224
624301541400
74060101444
oct1172523310
9377047840
10166373064
1185a05600
1247874860
1328612500
141814b824
15e915ac9
hex9eaa6c8

166373064 has 216 divisors, whose sum is σ = 541055970. Its totient is φ = 46126080.

The previous prime is 166373023. The next prime is 166373069. The reversal of 166373064 is 460373661.

It is a happy number.

166373064 is a `hidden beast` number, since 16 + 637 + 3 + 0 + 6 + 4 = 666.

166373064 is digitally balanced in base 2, 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 3 ways, for example, as 32970564 + 133402500 = 5742^2 + 11550^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166373069) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1472272 + ... + 1472384.

Almost surely, 2166373064 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 166373064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270527985).

166373064 is an abundant number, since it is smaller than the sum of its proper divisors (374682906).

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

166373064 is a wasteful number, since it uses less digits than its factorization.

166373064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 166373064 is about 12898.5682926440. The cubic root of 166373064 is about 549.9978666584.

It can be divided in two parts, 16637 and 3064, that added together give a triangular number (19701 = T198).

The spelling of 166373064 in words is "one hundred sixty-six million, three hundred seventy-three thousand, sixty-four".