Search a number
-
+
11152402144 = 2513471095233
BaseRepresentation
bin10100110001011110…
…00010011011100000
31001210020012201200021
422120233002123200
5140320003332034
65042350403224
7543236565652
oct123057023340
931706181607
1011152402144
114803270884
1221b2b00514
131089687a30
1477b2226d2
154541456b4
hex298bc26e0

11152402144 has 96 divisors (see below), whose sum is σ = 24374528640. Its totient is φ = 4990574592.

The previous prime is 11152402111. The next prime is 11152402181. The reversal of 11152402144 is 44120425111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2128552 + ... + 2133784.

It is an arithmetic number, because the mean of its divisors is an integer number (253901340).

Almost surely, 211152402144 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 11152402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12187264320).

11152402144 is an abundant number, since it is smaller than the sum of its proper divisors (13222126496).

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

11152402144 is a wasteful number, since it uses less digits than its factorization.

11152402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 11152402144 its reverse (44120425111), we get a palindrome (55272827255).

The spelling of 11152402144 in words is "eleven billion, one hundred fifty-two million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 109 188 208 218 376 416 436 611 752 872 1222 1417 1504 1744 2444 2834 3488 4888 5123 5233 5668 9776 10246 10466 11336 19552 20492 20932 22672 40984 41864 45344 66599 68029 81968 83728 133198 136058 163936 167456 245951 266396 272116 491902 532792 544232 570397 983804 1065584 1088464 1140794 1967608 2131168 2176928 2281588 3197363 3935216 4563176 6394726 7415161 7870432 9126352 12789452 14830322 18252704 25578904 26808659 29660644 51157808 53617318 59321288 102315616 107234636 118642576 214469272 237285152 348512567 428938544 697025134 857877088 1394050268 2788100536 5576201072 11152402144