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443105216135060 = 22554140952422933
BaseRepresentation
bin110010011000000000111100…
…1000000010111111110010100
32011002220110000101011212021112
41210300001321000113332110
5431034313440312310220
64210223420501434152
7162222203220444503
oct14460017100277624
92132813011155245
10443105216135060
11119206959862a66
124184491440b958
13160328479c9b9b
147b5c59a72083a
1536362b46c55c5
hex1930079017f94

443105216135060 has 24 divisors (see below), whose sum is σ = 932240955669576. Its totient is φ = 176914467066240.

The previous prime is 443105216135033. The next prime is 443105216135111. The reversal of 443105216135060 is 60531612501344.

It can be written as a sum of positive squares in 4 ways, for example, as 102234946564 + 443002981188496 = 319742^2 + 21047636^2 .

It is a super-2 number, since 2×4431052161350602 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 443105216134999 and 443105216135017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20476200647 + ... + 20476222286.

It is an arithmetic number, because the mean of its divisors is an integer number (38843373152899).

Almost surely, 2443105216135060 is an apocalyptic number.

It is an amenable number.

443105216135060 is an abundant number, since it is smaller than the sum of its proper divisors (489135739534516).

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

443105216135060 is a wasteful number, since it uses less digits than its factorization.

443105216135060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40952423483 (or 40952423481 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 443105216135060 in words is "four hundred forty-three trillion, one hundred five billion, two hundred sixteen million, one hundred thirty-five thousand, sixty".

Divisors: 1 2 4 5 10 20 541 1082 2164 2705 5410 10820 40952422933 81904845866 163809691732 204762114665 409524229330 819048458660 22155260806753 44310521613506 88621043227012 110776304033765 221552608067530 443105216135060