Search a number
-
+
12484237488 = 2433749914087
BaseRepresentation
bin10111010000001111…
…00101100010110000
31012020001021222022020
423220013211202300
5201031431044423
65422444311440
7621241160562
oct135007454260
935201258266
1012484237488
115327032448
122504b42580
13123c58b198
1486606d332
154d10234e3
hex2e81e58b0

12484237488 has 80 divisors (see below), whose sum is σ = 33191328000. Its totient is φ = 4040540928.

The previous prime is 12484237457. The next prime is 12484237499. The reversal of 12484237488 is 88473248421.

It is a self number, because there is not a number n which added to its sum of digits gives 12484237488.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879181 + ... + 893267.

It is an arithmetic number, because the mean of its divisors is an integer number (414891600).

Almost surely, 212484237488 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 12484237488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16595664000).

12484237488 is an abundant number, since it is smaller than the sum of its proper divisors (20707090512).

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

12484237488 is a wasteful number, since it uses less digits than its factorization.

12484237488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14634 (or 14628 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 51.

The spelling of 12484237488 in words is "twelve billion, four hundred eighty-four million, two hundred thirty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 499 592 888 998 1497 1776 1996 2994 3992 5988 7984 11976 14087 18463 23952 28174 36926 42261 55389 56348 73852 84522 110778 112696 147704 169044 221556 225392 295408 338088 443112 521219 676176 886224 1042438 1563657 2084876 3127314 4169752 6254628 7029413 8339504 12509256 14058826 21088239 25018512 28117652 42176478 56235304 84352956 112470608 168705912 260088281 337411824 520176562 780264843 1040353124 1560529686 2080706248 3121059372 4161412496 6242118744 12484237488