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11031316464 = 243789973803
BaseRepresentation
bin10100100011000010…
…01000011111110000
31001110210100221100110
422101201020133300
5140043004111324
65022343221320
7540236433330
oct122141103760
931423327313
1011031316464
114750988373
12217a447840
13106a5708bc
147691030c0
154486c8329
hex2918487f0

11031316464 has 160 divisors (see below), whose sum is σ = 33282869760. Its totient is φ = 3083452416.

The previous prime is 11031316391. The next prime is 11031316477. The reversal of 11031316464 is 46461313011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2898787 + ... + 2902589.

It is an arithmetic number, because the mean of its divisors is an integer number (208017936).

Almost surely, 211031316464 is an apocalyptic number.

11031316464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031316464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641434880).

11031316464 is an abundant number, since it is smaller than the sum of its proper divisors (22251553296).

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

11031316464 is a wasteful number, since it uses less digits than its factorization.

11031316464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 11031316464 its reverse (46461313011), we get a palindrome (57492629475).

The spelling of 11031316464 in words is "eleven billion, thirty-one million, three hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 97 112 168 178 194 267 291 336 356 388 534 582 623 679 712 776 1068 1164 1246 1358 1424 1552 1869 2037 2136 2328 2492 2716 3738 3803 4074 4272 4656 4984 5432 7476 7606 8148 8633 9968 10864 11409 14952 15212 16296 17266 22818 25899 26621 29904 30424 32592 34532 45636 51798 53242 60431 60848 69064 79863 91272 103596 106484 120862 138128 159726 181293 182544 207192 212968 241724 319452 338467 362586 368891 414384 425936 483448 638904 676934 725172 737782 966896 1015401 1106673 1277808 1353868 1450344 1475564 2030802 2213346 2369269 2582237 2707736 2900688 2951128 4061604 4426692 4738538 5164474 5415472 5902256 7107807 7746711 8123208 8853384 9477076 10328948 14215614 15493422 16246416 17706768 18954152 20657896 28431228 30986844 32831299 37908304 41315792 56862456 61973688 65662598 98493897 113724912 123947376 131325196 196987794 229819093 262650392 393975588 459638186 525300784 689457279 787951176 919276372 1378914558 1575902352 1838552744 2757829116 3677105488 5515658232 11031316464