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11441661112 = 2372109331809
BaseRepresentation
bin10101010011111100…
…11110010010111000
31002112101111121101101
422221332132102320
5141413031123422
65131202301144
7553351341400
oct125176362270
932471447341
1011441661112
114941579382
1222739577b4
13110459489b
147a77db800
1546e731c27
hex2a9f9e4b8

11441661112 has 96 divisors (see below), whose sum is σ = 25291926000. Its totient is φ = 4837916160.

The previous prime is 11441661103. The next prime is 11441661157. The reversal of 11441661112 is 21116614411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14142564 + ... + 14143372.

Almost surely, 211441661112 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 11441661112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645963000).

11441661112 is an abundant number, since it is smaller than the sum of its proper divisors (13850264888).

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

11441661112 is a wasteful number, since it uses less digits than its factorization.

11441661112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1258 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

It can be divided in two parts, 114416 and 61112, that added together give a triangular number (175528 = T592).

The spelling of 11441661112 in words is "eleven billion, four hundred forty-one million, six hundred sixty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 109 196 218 331 392 436 662 763 809 872 1324 1526 1618 2317 2648 3052 3236 4634 5341 5663 6104 6472 9268 10682 11326 16219 18536 21364 22652 32438 36079 39641 42728 45304 64876 72158 79282 88181 129752 144316 158564 176362 252553 267779 288632 317128 352724 505106 535558 617267 705448 1010212 1071116 1234534 1767871 1874453 2020424 2142232 2469068 3535742 3748906 4320869 4938136 7071484 7497812 8641738 13121171 14142968 14995624 17283476 26242342 29187911 34566952 52484684 58375822 104969368 116751644 204315377 233503288 408630754 817261508 1430207639 1634523016 2860415278 5720830556 11441661112