Search a number
-
+
12632023620 = 22325471678941
BaseRepresentation
bin10111100001110110…
…10110001001000100
31012121100101021202200
423300323112021010
5201332244223440
65445244034500
7625014300126
oct136073261104
935540337680
1012632023620
1153a24a2347
122546532a30
1312640934b8
1487b93d216
154ddeb6c30
hex2f0ed6244

12632023620 has 144 divisors (see below), whose sum is σ = 39371125248. Its totient is φ = 3276760320.

The previous prime is 12632023597. The next prime is 12632023627. The reversal of 12632023620 is 2632023621.

12632023620 is a `hidden beast` number, since 1 + 2 + 6 + 32 + 0 + 2 + 3 + 620 = 666.

It is not an unprimeable number, because it can be changed into a prime (12632023627) 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, 1408350 + ... + 1417290.

It is an arithmetic number, because the mean of its divisors is an integer number (273410592).

Almost surely, 212632023620 is an apocalyptic number.

12632023620 is a gapful number since it is divisible by the number (10) 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 12632023620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19685562624).

12632023620 is an abundant number, since it is smaller than the sum of its proper divisors (26739101628).

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

12632023620 is a wasteful number, since it uses less digits than its factorization.

12632023620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9170 (or 9165 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Subtracting from 12632023620 its reverse (2632023621), we obtain a palindrome (9999999999).

The spelling of 12632023620 in words is "twelve billion, six hundred thirty-two million, twenty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 167 180 188 235 282 334 423 470 501 564 668 705 835 846 940 1002 1410 1503 1670 1692 2004 2115 2505 2820 3006 3340 4230 5010 6012 7515 7849 8460 8941 10020 15030 15698 17882 23547 26823 30060 31396 35764 39245 44705 47094 53646 70641 78490 80469 89410 94188 107292 117735 134115 141282 156980 160938 178820 235470 268230 282564 321876 353205 402345 420227 470940 536460 706410 804690 840454 1260681 1412820 1493147 1609380 1680908 2101135 2521362 2986294 3782043 4202270 4479441 5042724 5972588 6303405 7465735 7564086 8404540 8958882 12606810 13438323 14931470 15128172 17917764 18910215 22397205 25213620 26876646 29862940 37820430 44794410 53753292 67191615 70177909 75640860 89588820 134383230 140355818 210533727 268766460 280711636 350889545 421067454 631601181 701779090 842134908 1052668635 1263202362 1403558180 2105337270 2526404724 3158005905 4210674540 6316011810 12632023620