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4136041050 = 235241798513
BaseRepresentation
bin1111011010000110…
…1111101001011010
3101200020200122200120
43312201233221122
531432311303200
61522225414110
7204331524501
oct36641575132
911606618616
104136041050
111832761949
1297519a336
1350bb73a8b
142b3447838
151931989a0
hexf686fa5a

4136041050 has 96 divisors (see below), whose sum is σ = 10641818880. Its totient is φ = 1062297600.

The previous prime is 4136041037. The next prime is 4136041057. The reversal of 4136041050 is 501406314.

It is a self number, because there is not a number n which added to its sum of digits gives 4136041050.

It is not an unprimeable number, because it can be changed into a prime (4136041057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481594 + ... + 490106.

It is an arithmetic number, because the mean of its divisors is an integer number (110852280).

Almost surely, 24136041050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4136041050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320909440).

4136041050 is an abundant number, since it is smaller than the sum of its proper divisors (6505777830).

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

4136041050 is a wasteful number, since it uses less digits than its factorization.

4136041050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8648 (or 8643 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4136041050 is about 64312.0599110307. The cubic root of 4136041050 is about 1605.1967810279.

Adding to 4136041050 its reverse (501406314), we get a palindrome (4637447364).

The spelling of 4136041050 in words is "four billion, one hundred thirty-six million, forty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 79 82 123 150 158 205 237 246 395 410 474 615 790 1025 1185 1230 1975 2050 2370 3075 3239 3950 5925 6150 6478 8513 9717 11850 16195 17026 19434 25539 32390 42565 48585 51078 80975 85130 97170 127695 161950 212825 242925 255390 349033 425650 485850 638475 672527 698066 1047099 1276950 1345054 1745165 2017581 2094198 3362635 3490330 4035162 5235495 6725270 8725825 10087905 10470990 16813175 17451650 20175810 26177475 27573607 33626350 50439525 52354950 55147214 82720821 100879050 137868035 165441642 275736070 413604105 689340175 827208210 1378680350 2068020525 4136041050