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4140917604 = 2232373108797
BaseRepresentation
bin1111011011010001…
…0110001101100100
3101200120212102001200
43312310112031210
531440033330404
61522522122500
7204421135035
oct36664261544
911616772050
104140917604
11183549275a
12976950430
1350cb90605
142b3d56a8c
1519380d839
hexf6d16364

4140917604 has 36 divisors (see below), whose sum is σ = 10750223484. Its totient is φ = 1342999872.

The previous prime is 4140917603. The next prime is 4140917609. The reversal of 4140917604 is 4067190414.

4140917604 is a `hidden beast` number, since 4 + 1 + 40 + 9 + 1 + 7 + 604 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2285031204 + 1855886400 = 47802^2 + 43080^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (4140917603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1553067 + ... + 1555730.

It is an arithmetic number, because the mean of its divisors is an integer number (298617319).

Almost surely, 24140917604 is an apocalyptic number.

It is an amenable number.

4140917604 is an abundant number, since it is smaller than the sum of its proper divisors (6609305880).

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

4140917604 is a wasteful number, since it uses less digits than its factorization.

4140917604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108844 (or 3108839 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4140917604 is about 64349.9619580307. The cubic root of 4140917604 is about 1605.8273964936.

The spelling of 4140917604 in words is "four billion, one hundred forty million, nine hundred seventeen thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 3108797 6217594 9326391 12435188 18652782 27979173 37305564 55958346 111916692 115025489 230050978 345076467 460101956 690152934 1035229401 1380305868 2070458802 4140917604