Search a number
-
+
11251115442 = 23272921114593
BaseRepresentation
bin10100111101001111…
…00110010110110010
31002001002221212212100
422132213212112302
5141020241143232
65100234241230
7545545621560
oct123647462662
932032855770
1011251115442
114853a63616
12221bb86216
1310a3c6a978
1478a39aa30
1545cb43c7c
hex29e9e65b2

11251115442 has 96 divisors (see below), whose sum is σ = 28959166080. Its totient is φ = 3088834560.

The previous prime is 11251115429. The next prime is 11251115443. The reversal of 11251115442 is 24451115211.

11251115442 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 111 + 544 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (11251115443) 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, 763698 + ... + 778290.

It is an arithmetic number, because the mean of its divisors is an integer number (301657980).

Almost surely, 211251115442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11251115442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14479583040).

11251115442 is an abundant number, since it is smaller than the sum of its proper divisors (17708050638).

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

11251115442 is a wasteful number, since it uses less digits than its factorization.

11251115442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14848 (or 14845 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The spelling of 11251115442 in words is "eleven billion, two hundred fifty-one million, one hundred fifteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 211 261 406 422 522 609 633 1218 1266 1477 1827 1899 2954 3654 3798 4431 6119 8862 12238 13293 14593 18357 26586 29186 36714 42833 43779 55071 85666 87558 102151 110142 128499 131337 204302 256998 262674 306453 385497 423197 612906 770994 846394 919359 1269591 1838718 2539182 2962379 3079123 3808773 5924758 6158246 7617546 8887137 9237369 17774274 18474738 21553861 26661411 27712107 43107722 53322822 55424214 64661583 89294567 129323166 178589134 193984749 267883701 387969498 535767402 625061969 803651103 1250123938 1607302206 1875185907 3750371814 5625557721 11251115442