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4134331544 = 237595992089
BaseRepresentation
bin1111011001101100…
…1110010010011000
3101200010110210200112
43312123032102120
531431342102134
61522125023452
7204311144510
oct36633162230
911603423615
104134331544
1118317a4532
129746b4b88
1350b6c5935
142b3120840
15192e5c1ce
hexf66ce498

4134331544 has 64 divisors (see below), whose sum is σ = 9028800000. Its totient is φ = 1738084608.

The previous prime is 4134331517. The next prime is 4134331577. The reversal of 4134331544 is 4451334314.

It is a self number, because there is not a number n which added to its sum of digits gives 4134331544.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1978052 + ... + 1980140.

It is an arithmetic number, because the mean of its divisors is an integer number (141075000).

Almost surely, 24134331544 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 4134331544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514400000).

4134331544 is an abundant number, since it is smaller than the sum of its proper divisors (4894468456).

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

4134331544 is a wasteful number, since it uses less digits than its factorization.

4134331544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2756 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 4134331544 is about 64298.7678264522. The cubic root of 4134331544 is about 1604.9755975625.

Adding to 4134331544 its reverse (4451334314), we get a palindrome (8585665858).

The spelling of 4134331544 in words is "four billion, one hundred thirty-four million, three hundred thirty-one thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 599 826 1198 1652 2089 2396 3304 4178 4193 4792 8356 8386 14623 16712 16772 29246 33544 35341 58492 70682 116984 123251 141364 246502 247387 282728 493004 494774 862757 986008 989548 1251311 1725514 1979096 2502622 3451028 5005244 6902056 8759177 10010488 17518354 35036708 70073416 73827349 147654698 295309396 516791443 590618792 1033582886 2067165772 4134331544