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5305163250436 = 227419212372
BaseRepresentation
bin100110100110011010001…
…0111101111101100000100
3200210011112221121110012221
41031030310113233230010
51143404433243003221
615141054112022124
71055166614410000
oct115146427575404
920704487543187
105305163250436
1117659a8393285
12718214531944
132c637580c83a
14144ab2523700
1592eed332541
hex4d3345efb04

5305163250436 has 135 divisors (see below), whose sum is σ = 11440019175669. Its totient is φ = 2152234766304.

The previous prime is 5305163250421. The next prime is 5305163250473. The reversal of 5305163250436 is 6340523615035.

The square root of 5305163250436 is 2303294.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4006602722500 + 1298560527936 = 2001650^2 + 1139544^2 .

It is a super-2 number, since 2×53051632504362 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5305163250392 and 5305163250401.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4288732810 + ... + 4288734046.

Almost surely, 25305163250436 is an apocalyptic number.

5305163250436 is the 2303294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305163250436

5305163250436 is an abundant number, since it is smaller than the sum of its proper divisors (6134855925233).

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

5305163250436 is an frugal number, since it uses more digits than its factorization.

5305163250436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 43.

The spelling of 5305163250436 in words is "five trillion, three hundred five billion, one hundred sixty-three million, two hundred fifty thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 361 532 686 722 931 1237 1372 1444 1862 2401 2474 2527 3724 4802 4948 5054 6517 8659 9604 10108 13034 17318 17689 23503 26068 34636 35378 45619 47006 60613 70756 91238 94012 121226 123823 164521 182476 242452 247646 329042 424291 446557 495292 658084 848582 866761 893114 1151647 1530169 1697164 1733522 1786228 2303294 2970037 3060338 3125899 3467044 4606588 5940074 6120676 6251798 8061529 10711183 11880148 12503596 16123058 21422366 21881293 29073211 32246116 42844732 43762586 56430703 58146422 74978281 87525172 112861406 116292844 149956562 153169051 203512477 225722812 299913124 306338102 407024954 524847967 552391009 612676204 814049908 1049695934 1072183357 1104782018 1424587339 2099391868 2144366714 2209564036 2849174678 3673935769 3866737063 4288733428 5698349356 7347871538 7733474126 9972111373 14695743076 15466948252 19944222746 27067159441 39888445492 54134318882 69804779611 108268637764 139609559222 189470116087 279219118444 378940232174 757880464348 1326290812609 2652581625218 5305163250436