Search a number
-
+
1133143648 = 25713237809
BaseRepresentation
bin100001110001010…
…0110011001100000
32220222012122212021
41003202212121200
54310041044043
6304235111224
740036363540
oct10342463140
92828178767
101133143648
115316a265a
122775a2514
131509b6800
14aa6c9320
15697313ed
hex438a6660

1133143648 has 144 divisors (see below), whose sum is σ = 2838900960. Its totient is φ = 435621888.

The previous prime is 1133143643. The next prime is 1133143663. The reversal of 1133143648 is 8463413311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133143643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1400268 + ... + 1401076.

It is an arithmetic number, because the mean of its divisors is an integer number (19714590).

Almost surely, 21133143648 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 1133143648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419450480).

1133143648 is an abundant number, since it is smaller than the sum of its proper divisors (1705757312).

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

1133143648 is a wasteful number, since it uses less digits than its factorization.

1133143648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 868 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 1133143648 is about 33662.1990963157. The cubic root of 1133143648 is about 1042.5454315629.

Adding to 1133143648 its reverse (8463413311), we get a palindrome (9596556959).

The spelling of 1133143648 in words is "one billion, one hundred thirty-three million, one hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 52 56 74 91 104 112 148 169 182 208 224 259 296 338 364 416 481 518 592 676 728 809 962 1036 1183 1184 1352 1456 1618 1924 2072 2366 2704 2912 3236 3367 3848 4144 4732 5408 5663 6253 6472 6734 7696 8288 9464 10517 11326 12506 12944 13468 15392 18928 21034 22652 25012 25888 26936 29933 37856 42068 43771 45304 50024 53872 59866 73619 84136 87542 90608 100048 107744 119732 136721 147238 168272 175084 181216 200096 209531 239464 273442 294476 336544 350168 389129 419062 478928 546884 588952 700336 778258 838124 957047 957856 1093768 1177904 1400672 1556516 1676248 1914094 2187536 2355808 2723903 3113032 3352496 3828188 4375072 5058677 5447806 6226064 6704992 7656376 10117354 10895612 12452128 15312752 20234708 21791224 30625504 35410739 40469416 43582448 70821478 80938832 87164896 141642956 161877664 283285912 566571824 1133143648