Search a number
-
+
11153013452 = 22719371035501
BaseRepresentation
bin10100110001100010…
…10111101011001100
31001210021100210020022
422120301113223030
5140320132412302
65042411441312
7543245023130
oct123061275314
931707323208
1011153013452
114803649099
1221b3156238
131089840059
1477b3413c0
154542168a2
hex298c57acc

11153013452 has 96 divisors (see below), whose sum is σ = 24353172480. Its totient is φ = 4362336000.

The previous prime is 11153013451. The next prime is 11153013457. The reversal of 11153013452 is 25431035111.

11153013452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11153013451) 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, 2024702 + ... + 2030202.

It is an arithmetic number, because the mean of its divisors is an integer number (253678880).

Almost surely, 211153013452 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 11153013452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12176586240).

11153013452 is an abundant number, since it is smaller than the sum of its proper divisors (13200159028).

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

11153013452 is a wasteful number, since it uses less digits than its factorization.

11153013452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5671 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 11153013452 its reverse (25431035111), we get a palindrome (36584048563).

The spelling of 11153013452 in words is "eleven billion, one hundred fifty-three million, thirteen thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 103 133 148 206 259 266 412 518 532 703 721 1036 1406 1442 1957 2812 2884 3811 3914 4921 5501 7622 7828 9842 11002 13699 15244 19684 22004 26677 27398 38507 53354 54796 72409 77014 104519 106708 144818 154028 203537 209038 289636 407074 418076 506863 566603 731633 814148 1013726 1133206 1424759 1463266 2027452 2266412 2849518 2926532 3867203 3966221 5699036 7734406 7932442 10765457 15468812 15864884 20964311 21530914 27070421 41928622 43061828 54140842 75358199 83857244 108281684 146750177 150716398 293500354 301432796 398321909 587000708 796643818 1593287636 2788253363 5576506726 11153013452