Search a number
-
+
1149358716 = 22321119173883
BaseRepresentation
bin100010010000001…
…1101001001111100
32222002201110202100
41010200131021330
54323213434331
6310014425100
740324250022
oct10440351174
92862643670
101149358716
1153a868240
12280b02190
1315417321c
14ac90a712
156ad85ae6
hex4481d27c

1149358716 has 144 divisors (see below), whose sum is σ = 3359341440. Its totient is φ = 327680640.

The previous prime is 1149358709. The next prime is 1149358747. The reversal of 1149358716 is 6178539411.

1149358716 is a `hidden beast` number, since 11 + 49 + 3 + 587 + 16 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1301211 + ... + 1302093.

It is an arithmetic number, because the mean of its divisors is an integer number (23328760).

Almost surely, 21149358716 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 1149358716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679670720).

1149358716 is an abundant number, since it is smaller than the sum of its proper divisors (2209982724).

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

1149358716 is a wasteful number, since it uses less digits than its factorization.

1149358716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1091 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 1149358716 is about 33902.1933803699. The cubic root of 1149358716 is about 1047.4947730348.

The spelling of 1149358716 in words is "one billion, one hundred forty-nine million, three hundred fifty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 173 198 209 228 342 346 396 418 519 627 684 692 836 883 1038 1254 1557 1766 1881 1903 2076 2508 2649 3114 3287 3532 3762 3806 5298 5709 6228 6574 7524 7612 7947 9713 9861 10596 11418 13148 15894 16777 17127 19426 19722 22836 29139 29583 31788 33554 34254 36157 38852 39444 50331 58278 59166 67108 68508 72314 87417 100662 108471 116556 118332 144628 150993 152759 174834 184547 201324 216942 301986 305518 325413 349668 369094 433884 458277 553641 603972 611036 650826 738188 916554 1107282 1301652 1374831 1660923 1680349 1833108 2214564 2749662 2902421 3321846 3360698 5041047 5499324 5804842 6643692 6721396 8707263 10082094 11609684 15123141 17414526 20164188 26121789 30246282 31926631 34829052 52243578 60492564 63853262 95779893 104487156 127706524 191559786 287339679 383119572 574679358 1149358716