Search a number
-
+
11051215252 = 22711192965119
BaseRepresentation
bin10100100101011010…
…00010100110010100
31001112011210220100121
422102231002212110
5140113102342002
65024333521324
7540600531310
oct122255024624
931464726317
1011051215252
114761139650
122185043244
131071719c2c
1476ba02b40
1544a309237
hex292b42994

11051215252 has 96 divisors (see below), whose sum is σ = 26256384000. Its totient is φ = 3938336640.

The previous prime is 11051215207. The next prime is 11051215277. The reversal of 11051215252 is 25251215011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137149 + ... + 202267.

It is an arithmetic number, because the mean of its divisors is an integer number (273504000).

Almost surely, 211051215252 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 11051215252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13128192000).

11051215252 is an abundant number, since it is smaller than the sum of its proper divisors (15205168748).

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

11051215252 is a wasteful number, since it uses less digits than its factorization.

11051215252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65189 (or 65187 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 25.

The spelling of 11051215252 in words is "eleven billion, fifty-one million, two hundred fifteen thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 19 22 28 29 38 44 58 76 77 116 133 154 203 209 266 308 319 406 418 532 551 638 812 836 1102 1276 1463 2204 2233 2926 3857 4466 5852 6061 7714 8932 12122 15428 24244 42427 65119 84854 130238 169708 260476 455833 716309 911666 1237261 1432618 1823332 1888451 2474522 2865236 3776902 4949044 5014163 7553804 8660827 10028326 13219157 13609871 17321654 20056652 20772961 26438314 27219742 34643308 35880569 41545922 52876628 54439484 71761138 83091844 95269097 143522276 145410727 190538194 251163983 290821454 381076388 394686259 502327966 581642908 789372518 1004655932 1578745036 2762803813 5525607626 11051215252