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4164494148 = 22371741683
BaseRepresentation
bin1111100000111001…
…0010001101000100
3101202020020020000000
43320032102031010
532012102303043
61525123321300
7205125421233
oct37016221504
911666206000
104164494148
111847826101
12982820230
13514a26929
142b7132b1a
151959192d3
hexf8392344

4164494148 has 192 divisors, whose sum is σ = 11872707840. Its totient is φ = 1272775680.

The previous prime is 4164494101. The next prime is 4164494153. The reversal of 4164494148 is 8414944614.

It is a happy number.

4164494148 is a `hidden beast` number, since 4 + 16 + 4 + 494 + 148 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6097015 + ... + 6097697.

It is an arithmetic number, because the mean of its divisors is an integer number (61837020).

Almost surely, 24164494148 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 4164494148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936353920).

4164494148 is an abundant number, since it is smaller than the sum of its proper divisors (7708213692).

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

4164494148 is a wasteful number, since it uses less digits than its factorization.

4164494148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 746 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 4164494148 is about 64532.8919854054. The cubic root of 4164494148 is about 1608.8692532264.

The spelling of 4164494148 in words is "four billion, one hundred sixty-four million, four hundred ninety-four thousand, one hundred forty-eight".