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12318316984516 = 2237243211032
BaseRepresentation
bin1011001101000001010011…
…1010000111100011000100
31121121121201200122100120111
42303100110322013203010
53103310403122001031
642110542351442404
72410653243516154
oct263202472074304
947547650570514
1012318316984516
113a1a194888734
12146b457526404
136b47c631556a
143082d16a2764
151656636ee1b1
hexb3414e878c4

12318316984516 has 81 divisors (see below), whose sum is σ = 22703232352941. Its totient is φ = 5848023019104.

The previous prime is 12318316984499. The next prime is 12318316984537. The reversal of 12318316984516 is 61548961381321.

The square root of 12318316984516 is 3509746.

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., 11022599200900 + 1295717783616 = 3320030^2 + 1138296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11168011221 + ... + 11168012323.

Almost surely, 212318316984516 is an apocalyptic number.

12318316984516 is the 3509746-th square number.

It is an amenable number.

12318316984516 is a deficient number, since it is larger than the sum of its proper divisors (10384915368425).

12318316984516 is an frugal number, since it uses more digits than its factorization.

12318316984516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 1185 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 58.

The spelling of 12318316984516 in words is "twelve trillion, three hundred eighteen billion, three hundred sixteen million, nine hundred eighty-four thousand, five hundred sixteen".

Divisors: 1 2 4 37 43 74 86 148 172 1103 1369 1591 1849 2206 2738 3182 3698 4412 5476 6364 7396 40811 47429 58867 68413 81622 94858 117734 136826 163244 189716 235468 273652 1216609 1510007 1754873 2039447 2433218 2531281 3020014 3509746 4078894 4866436 5062562 6040028 7019492 8157788 10125124 45014533 52314187 64930301 75459539 90029066 104628374 129860602 150919078 180058132 209256748 259721204 301838156 1665537721 1935624919 2249510041 2792002943 3331075442 3871249838 4499020082 5584005886 6662150884 7742499676 8998040164 11168011772 71618122003 83231871517 143236244006 166463743034 286472488012 332927486068 3079579246129 6159158492258 12318316984516