Search a number
-
+
11149092144 = 2432139653853
BaseRepresentation
bin10100110001000100…
…11010010100110000
31001202222222120012200
422120202122110300
5140313131422034
65042151423200
7543166501551
oct123042322460
931688876180
1011149092144
11480140aa43
1221b1984b00
131088a99258
1477aa00328
15453bdea99
hex29889a530

11149092144 has 120 divisors (see below), whose sum is σ = 31511472720. Its totient is φ = 3679658496.

The previous prime is 11149092121. The next prime is 11149092179. The reversal of 11149092144 is 44129094111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11149092099 and 11149092108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13070022 + ... + 13070874.

It is an arithmetic number, because the mean of its divisors is an integer number (262595606).

Almost surely, 211149092144 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 11149092144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15755736360).

11149092144 is an abundant number, since it is smaller than the sum of its proper divisors (20362380576).

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

11149092144 is a wasteful number, since it uses less digits than its factorization.

11149092144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11149092144 in words is "eleven billion, one hundred forty-nine million, ninety-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 653 834 853 1112 1251 1306 1668 1706 1959 2224 2502 2559 2612 3336 3412 3918 5004 5118 5224 5877 6672 6824 7677 7836 10008 10236 10448 11754 13648 15354 15672 20016 20472 23508 30708 31344 40944 47016 61416 90767 94032 118567 122832 181534 237134 272301 355701 363068 474268 544602 557009 711402 726136 816903 948536 1067103 1089204 1114018 1422804 1452272 1633806 1671027 1897072 2134206 2178408 2228036 2845608 3267612 3342054 4268412 4356816 4456072 5013081 5691216 6535224 6684108 8536824 8912144 10026162 13070448 13368216 17073648 20052324 26736432 40104648 77424251 80209296 154848502 232272753 309697004 464545506 619394008 696818259 929091012 1238788016 1393636518 1858182024 2787273036 3716364048 5574546072 11149092144