Search a number
-
+
12443530632162 = 2372291747835421
BaseRepresentation
bin1011010100010011110000…
…1110010001101111100010
31122001120221001012201002220
42311010330032101233202
53112333322320212122
642244251250451510
72423005201124400
oct265047416215742
948046831181086
1012443530632162
113a682a9704463
12148b781293b96
136c355c6b3726
143103ad202470
15168a4125e25c
hexb513c391be2

12443530632162 has 96 divisors (see below), whose sum is σ = 29965718301120. Its totient is φ = 3430729088640.

The previous prime is 12443530632157. The next prime is 12443530632199. The reversal of 12443530632162 is 26123603534421.

12443530632162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14477212 + ... + 15312632.

It is an arithmetic number, because the mean of its divisors is an integer number (312142898970).

Almost surely, 212443530632162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12443530632162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982859150560).

12443530632162 is an abundant number, since it is smaller than the sum of its proper divisors (17522187668958).

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

12443530632162 is a wasteful number, since it uses less digits than its factorization.

12443530632162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837216 (or 837209 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 12443530632162 in words is "twelve trillion, four hundred forty-three billion, five hundred thirty million, six hundred thirty-two thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 1218 1421 1747 2842 3494 4263 5241 8526 10482 12229 24458 36687 50663 73374 85603 101326 151989 171206 256809 303978 354641 513618 709282 835421 1063923 1670842 2127846 2482487 2506263 4964974 5012526 5847947 7447461 11695894 14894922 17543841 24227209 35087682 40935629 48454418 72681627 81871258 122806887 145363254 169590463 245613774 339180926 508771389 1017542778 1187133241 1459480487 2374266482 2918960974 3561399723 4378441461 7122799446 8756882922 10216363409 20432726818 30649090227 42324934123 61298180454 71514543863 84649868246 126974802369 143029087726 214543631589 253949604738 296274538861 429087263178 592549077722 888823616583 1777647233166 2073921772027 4147843544054 6221765316081 12443530632162