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4164428196 = 2232115678561
BaseRepresentation
bin1111100000111000…
…0010000110100100
3101202020002212112100
43320032002012210
532012043200241
61525122052100
7205125025035
oct37016020644
911666085470
104164428196
1118477905a5
129827aa030
13514a028c6
142b7116a8c
151959049b6
hexf83821a4

4164428196 has 18 divisors (see below), whose sum is σ = 10526749142. Its totient is φ = 1388142720.

The previous prime is 4164428173. The next prime is 4164428197. The reversal of 4164428196 is 6918244614.

4164428196 is a `hidden beast` number, since 4 + 16 + 442 + 8 + 196 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4155607296 + 8820900 = 64464^2 + 2970^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4164428197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57839245 + ... + 57839316.

Almost surely, 24164428196 is an apocalyptic number.

It is an amenable number.

4164428196 is an abundant number, since it is smaller than the sum of its proper divisors (6362320946).

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

4164428196 is a wasteful number, since it uses less digits than its factorization.

4164428196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115678571 (or 115678566 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4164428196 is about 64532.3809881520. The cubic root of 4164428196 is about 1608.8607601016.

The spelling of 4164428196 in words is "four billion, one hundred sixty-four million, four hundred twenty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 115678561 231357122 347035683 462714244 694071366 1041107049 1388142732 2082214098 4164428196