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5293987468 = 2271129532211
BaseRepresentation
bin1001110111000101…
…11101011010001100
3111122221120102112221
410323202331122030
541320230044333
62233152305124
7245122102540
oct47342753214
914587512487
105293987468
112277355160
121038b421a4
13664a32a83
1438314ba20
1520eb78d2d
hex13b8bd68c

5293987468 has 144 divisors (see below), whose sum is σ = 12236232960. Its totient is φ = 1944633600.

The previous prime is 5293987451. The next prime is 5293987469. The reversal of 5293987468 is 8647893925.

It is a super-2 number, since 2×52939874682 = 56052606622682102048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5293987469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25089883 + ... + 25090093.

It is an arithmetic number, because the mean of its divisors is an integer number (84973840).

Almost surely, 25293987468 is an apocalyptic number.

5293987468 is a gapful number since it is divisible by the number (58) 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 5293987468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118116480).

5293987468 is an abundant number, since it is smaller than the sum of its proper divisors (6942245492).

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

5293987468 is a wasteful number, since it uses less digits than its factorization.

5293987468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 313 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 61.

The square root of 5293987468 is about 72759.7929353843. The cubic root of 5293987468 is about 1742.8538480134.

The spelling of 5293987468 in words is "five billion, two hundred ninety-three million, nine hundred eighty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 29 44 53 58 77 106 116 154 203 211 212 308 319 371 406 422 583 638 742 812 844 1166 1276 1477 1484 1537 2233 2321 2332 2809 2954 3074 4081 4466 4642 5618 5908 6119 6148 8162 8932 9284 10759 11183 11236 12238 16247 16324 16907 19663 21518 22366 24476 30899 32494 33814 39326 42833 43036 44732 61798 64988 67309 67628 78281 78652 81461 85666 118349 123013 123596 134618 156562 162922 171332 216293 236698 246026 269236 313124 324307 325844 432586 471163 473396 492052 570227 592699 648614 861091 865172 896071 942326 1140454 1185398 1297228 1722182 1792142 1884652 2270149 2280908 2370796 3444364 3567377 3584284 4148893 4540298 6272497 6519689 7134754 8297786 9080596 12544994 13039378 14269508 16595572 17188271 24971639 25089988 26078756 34376542 45637823 49943278 68753084 91275646 99886556 120317897 182551292 189070981 240635794 378141962 481271588 756283924 1323496867 2646993734 5293987468