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4132205136 = 243228695869
BaseRepresentation
bin1111011001001100…
…0111001001010000
3101122222110202210200
43312103013021100
531430321031021
61522011255200
7204254110203
oct36623071120
911588422720
104132205136
111830581974
12973a4a500
1350b12cac7
142b2b2993a
15192b8c126
hexf64c7250

4132205136 has 30 divisors (see below), whose sum is σ = 11564435610. Its totient is φ = 1377401664.

The previous prime is 4132205117. The next prime is 4132205137. The reversal of 4132205136 is 6315022314.

It can be written as a sum of positive squares in only one way, i.e., 3672360000 + 459845136 = 60600^2 + 21444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132205137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14347791 + ... + 14348078.

It is an arithmetic number, because the mean of its divisors is an integer number (385481187).

Almost surely, 24132205136 is an apocalyptic number.

It is an amenable number.

4132205136 is an abundant number, since it is smaller than the sum of its proper divisors (7432230474).

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

4132205136 is a wasteful number, since it uses less digits than its factorization.

4132205136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28695883 (or 28695874 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4132205136 is about 64282.2303284508. The cubic root of 4132205136 is about 1604.7003883630.

The spelling of 4132205136 in words is "four billion, one hundred thirty-two million, two hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 28695869 57391738 86087607 114783476 172175214 229566952 258262821 344350428 459133904 516525642 688700856 1033051284 1377401712 2066102568 4132205136