Search a number
-
+
11482285404 = 22329833311201
BaseRepresentation
bin10101011000110010…
…11100010101011100
31002122012221112102210
422230121130111130
5142003431113104
65135213120420
7554353546512
oct125431342534
932565845383
1011482285404
1149624a5a77
122285489110
13110cb19625
147acd744b2
154730a8989
hex2ac65c55c

11482285404 has 96 divisors (see below), whose sum is σ = 28157955840. Its totient is φ = 3636864000.

The previous prime is 11482285403. The next prime is 11482285417. The reversal of 11482285404 is 40458228411.

11482285404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114822854042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11482285403) 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 31 ways as a sum of consecutive naturals, for example, 9560004 + ... + 9561204.

It is an arithmetic number, because the mean of its divisors is an integer number (293312040).

Almost surely, 211482285404 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 11482285404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14078977920).

11482285404 is an abundant number, since it is smaller than the sum of its proper divisors (16675670436).

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

11482285404 is a wasteful number, since it uses less digits than its factorization.

11482285404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 11482285404 in words is "eleven billion, four hundred eighty-two million, two hundred eighty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 12 29 58 83 87 116 166 174 249 331 332 348 498 662 993 996 1201 1324 1986 2402 2407 3603 3972 4804 4814 7206 7221 9599 9628 14412 14442 19198 27473 28797 28884 34829 38396 54946 57594 69658 82419 99683 104487 109892 115188 139316 164838 199366 208974 299049 329676 397531 398732 417948 598098 795062 796717 1192593 1196196 1590124 1593434 2385186 2390151 2890807 3186868 4770372 4780302 5781614 8672421 9560604 11528399 11563228 17344842 23056798 32995073 34585197 34689684 46113596 65990146 69170394 98985219 131980292 138340788 197970438 395940876 956857117 1913714234 2870571351 3827428468 5741142702 11482285404