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443146316166764 = 2274367281991919
BaseRepresentation
bin110010011000010100000101…
…0110000100011011001101100
32011010001101002201010210120222
41210300220022300203121230
5431041002123414314024
64210254335054030512
7162225156553113020
oct14460501260433154
92133041081123528
10443146316166764
1111922232a748111
12418508847a8438
1316036697941682
147b60579038380
1536373bca4c85e
hex1930a0ac2366c

443146316166764 has 72 divisors (see below), whose sum is σ = 920642010140160. Its totient is φ = 182734403743584.

The previous prime is 443146316166739. The next prime is 443146316166769. The reversal of 443146316166764 is 467661613641344.

It is a junction number, because it is equal to n+sod(n) for n = 443146316166697 and 443146316166706.

It is not an unprimeable number, because it can be changed into a prime (443146316166769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35591204 + ... + 46400715.

It is an arithmetic number, because the mean of its divisors is an integer number (12786694585280).

Almost surely, 2443146316166764 is an apocalyptic number.

It is an amenable number.

443146316166764 is an abundant number, since it is smaller than the sum of its proper divisors (477495693973396).

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

443146316166764 is a wasteful number, since it uses less digits than its factorization.

443146316166764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81992107 (or 81992038 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 62.

The spelling of 443146316166764 in words is "four hundred forty-three trillion, one hundred forty-six billion, three hundred sixteen million, one hundred sixty-six thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 43 67 86 134 172 268 301 469 602 938 1204 1876 2881 4489 5762 8978 11524 17956 20167 31423 40334 62846 80668 125692 193027 386054 772108 1351189 2702378 5404756 81991919 163983838 327967676 573943433 1147886866 2295773732 3525652517 5493458573 7051305034 10986917146 14102610068 21973834292 24679567619 38454210011 49359135238 76908420022 98718270476 153816840044 236218718639 368061724391 472437437278 736123448782 944874874556 1472246897564 1653531030473 2576432070737 3307062060946 5152864141474 6614124121892 10305728282948 15826654148813 31653308297626 63306616595252 110786579041691 221573158083382 443146316166764