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11242505232 = 2432770915731
BaseRepresentation
bin10100111100001101…
…10000010000010000
31002000111202102212200
422132012300100100
5141011040131412
65055325523200
7545412501120
oct123606602020
932014672780
1011242505232
11484a112642
122219113500
1310a224487a
14789198c80
1545bee29dc
hex29e1b0410

11242505232 has 120 divisors (see below), whose sum is σ = 36011177280. Its totient is φ = 3207409920.

The previous prime is 11242505231. The next prime is 11242505237. The reversal of 11242505232 is 23250524211.

11242505232 is a `hidden beast` number, since 1 + 1 + 2 + 425 + 0 + 5 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11242505196 and 11242505205.

It is not an unprimeable number, because it can be changed into a prime (11242505231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706807 + ... + 722537.

It is an arithmetic number, because the mean of its divisors is an integer number (300093144).

Almost surely, 211242505232 is an apocalyptic number.

11242505232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242505232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18005588640).

11242505232 is an abundant number, since it is smaller than the sum of its proper divisors (24768672048).

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

11242505232 is a wasteful number, since it uses less digits than its factorization.

11242505232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16461 (or 16452 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 11242505232 in words is "eleven billion, two hundred forty-two million, five hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 709 1008 1418 2127 2836 4254 4963 5672 6381 8508 9926 11344 12762 14889 15731 17016 19852 25524 29778 31462 34032 39704 44667 47193 51048 59556 62924 79408 89334 94386 102096 110117 119112 125848 141579 178668 188772 220234 238224 251696 283158 330351 357336 377544 440468 566316 660702 714672 755088 880936 991053 1132632 1321404 1761872 1982106 2265264 2642808 3964212 5285616 7928424 11153279 15856848 22306558 33459837 44613116 66919674 78072953 89226232 100379511 133839348 156145906 178452464 200759022 234218859 267678696 312291812 401518044 468437718 535357392 624583624 702656577 803036088 936875436 1249167248 1405313154 1606072176 1873750872 2810626308 3747501744 5621252616 11242505232