Search a number
-
+
11306532605784 = 23313791014541783
BaseRepresentation
bin1010010010001000000111…
…0111000000111101011000
31111000220010200211110111220
42210202001313000331120
52440221234321341114
640014052133052040
72244604263301623
oct244420167007530
944026120743456
1011306532605784
11366a089993669
121327346a87020
1364028077b870
142b134c128dba
1514919760a0a9
hexa4881dc0f58

11306532605784 has 128 divisors (see below), whose sum is σ = 31131204249600. Its totient is φ = 3400886361600.

The previous prime is 11306532605783. The next prime is 11306532605801. The reversal of 11306532605784 is 48750623560311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11306532605783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218557 + ... + 4760339.

It is an arithmetic number, because the mean of its divisors is an integer number (243212533200).

Almost surely, 211306532605784 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 11306532605784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15565602124800).

11306532605784 is an abundant number, since it is smaller than the sum of its proper divisors (19824671643816).

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

11306532605784 is a wasteful number, since it uses less digits than its factorization.

11306532605784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541985 (or 4541981 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 11306532605784 in words is "eleven trillion, three hundred six billion, five hundred thirty-two million, six hundred five thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 101 104 156 158 202 237 303 312 316 404 474 606 632 808 948 1027 1212 1313 1896 2054 2424 2626 3081 3939 4108 5252 6162 7878 7979 8216 10504 12324 15756 15958 23937 24648 31512 31916 47874 63832 95748 103727 191496 207454 311181 414908 622362 829816 1244724 2489448 4541783 9083566 13625349 18167132 27250698 36334264 54501396 59043179 109002792 118086358 177129537 236172716 354259074 358800857 458720083 472345432 708518148 717601714 917440166 1076402571 1376160249 1417036296 1435203428 1834880332 2152805142 2752320498 2870406856 3669760664 4305610284 4664411141 5504640996 5963361079 8611220568 9328822282 11009281992 11926722158 13993233423 17890083237 18657644564 23853444316 27986466846 35780166474 36238886557 37315289128 47706888632 55972933692 71560332948 72477773114 108716659671 111945867384 143120665896 144955546228 217433319342 289911092456 434866638684 471105525241 869733277368 942211050482 1413316575723 1884422100964 2826633151446 3768844201928 5653266302892 11306532605784