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413233404012 = 2232111380270669
BaseRepresentation
bin1100000001101101010…
…00010101100001101100
31110111121221112221120100
412000312220111201230
523232300222412022
6513500425551100
741566210656552
oct6006650254154
91414557487510
10413233404012
1114a284535730
1268107045490
132cc77191810
1416001927bd2
15ab385a21ac
hex6036a1586c

413233404012 has 72 divisors (see below), whose sum is σ = 1227178002960. Its totient is φ = 115589761920.

The previous prime is 413233403929. The next prime is 413233404071. The reversal of 413233404012 is 210404332314.

413233404012 is a `hidden beast` number, since 4 + 13 + 233 + 404 + 0 + 12 = 666.

It is a super-2 number, since 2×4132334040122 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40130187 + ... + 40140482.

It is an arithmetic number, because the mean of its divisors is an integer number (17044138930).

Almost surely, 2413233404012 is an apocalyptic number.

It is an amenable number.

413233404012 is an abundant number, since it is smaller than the sum of its proper divisors (813944598948).

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

413233404012 is a wasteful number, since it uses less digits than its factorization.

413233404012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80270703 (or 80270698 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 413233404012 its reverse (210404332314), we get a palindrome (623637736326).

The spelling of 413233404012 in words is "four hundred thirteen billion, two hundred thirty-three million, four hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 80270669 160541338 240812007 321082676 481624014 722436021 882977359 963248028 1043518697 1444872042 1765954718 2087037394 2648932077 2889744084 3130556091 3531909436 4174074788 5297864154 6261112182 7946796231 9391668273 10595728308 11478705667 12522224364 15893592462 18783336546 22957411334 31787184924 34436117001 37566673092 45914822668 68872234002 103308351003 137744468004 206616702006 413233404012