Search a number
-
+
4135113048 = 2331121783761
BaseRepresentation
bin1111011001111000…
…1101000101011000
3101200011221111201010
43312132031011120
531432042104143
61522153453520
7204320611113
oct36636150530
911604844633
104135113048
111832188700
12974a112a0
1350b90a571
142b328557a
15193063a33
hexf678d158

4135113048 has 96 divisors (see below), whose sum is σ = 12031573680. Its totient is φ = 1179340800.

The previous prime is 4135113043. The next prime is 4135113049. The reversal of 4135113048 is 8403115314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135113043) 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 23 ways as a sum of consecutive naturals, for example, 7488 + ... + 91248.

Almost surely, 24135113048 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 4135113048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015786840).

4135113048 is an abundant number, since it is smaller than the sum of its proper divisors (7896460632).

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

4135113048 is a wasteful number, since it uses less digits than its factorization.

4135113048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83809 (or 83794 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4135113048 is about 64304.8446697448. The cubic root of 4135113048 is about 1605.0767195788.

The spelling of 4135113048 in words is "four billion, one hundred thirty-five million, one hundred thirteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 363 374 408 484 561 726 748 968 1122 1452 1496 2057 2244 2904 4114 4488 6171 8228 12342 16456 24684 49368 83761 167522 251283 335044 502566 670088 921371 1005132 1423937 1842742 2010264 2764113 2847874 3685484 4271811 5528226 5695748 7370968 8543622 10135081 11056452 11391496 15663307 17087244 20270162 22112904 30405243 31326614 34174488 40540324 46989921 60810486 62653228 81080648 93979842 121620972 125306456 172296377 187959684 243241944 344592754 375919368 516889131 689185508 1033778262 1378371016 2067556524 4135113048