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166155264 = 21032112149
BaseRepresentation
bin10011110011101…
…01010000000000
3102120122120011200
421321311100000
5320013432024
624253141200
74055203452
oct1171652000
9376576150
10166155264
1185876a00
124778a800
1328567332
14180d22d2
15e8c12c9
hex9e75400

166155264 has 198 divisors, whose sum is σ = 530889450. Its totient is φ = 50012160.

The previous prime is 166155259. The next prime is 166155307. The reversal of 166155264 is 462551661.

166155264 is a `hidden beast` number, since 16 + 615 + 5 + 26 + 4 = 666.

166155264 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., 111513600 + 54641664 = 10560^2 + 7392^2 .

It is a tau number, because it is divible by the number of its divisors (198).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1115062 + ... + 1115210.

Almost surely, 2166155264 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 166155264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265444725).

166155264 is an abundant number, since it is smaller than the sum of its proper divisors (364734186).

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

166155264 is a wasteful number, since it uses less digits than its factorization.

166155264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 165 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 166155264 is about 12890.1227302148. The cubic root of 166155264 is about 549.7577599910.

The spelling of 166155264 in words is "one hundred sixty-six million, one hundred fifty-five thousand, two hundred sixty-four".