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442165452516162 = 23224564747362009
BaseRepresentation
bin110010010001001011010101…
…0101110101010101101000010
32010222120121022122010122110100
41210202112222232222231002
5430423414321321004122
64204224001001543230
7162064254052464054
oct14442265256525502
92128517278118410
10442165452516162
11118984351796811
12417127634a4b16
1315c9503c1430cb
147b28cca2dd8d4
15361bb11305aac
hex19225aabaab42

442165452516162 has 12 divisors (see below), whose sum is σ = 958025147118390. Its totient is φ = 147388484172048.

The previous prime is 442165452516143. The next prime is 442165452516181. The reversal of 442165452516162 is 261615254561244.

442165452516162 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 6 + 54 + 525 + 1 + 6 + 1 + 62 = 666.

It is an interprime number because it is at equal distance from previous prime (442165452516143) and next prime (442165452516181).

It can be written as a sum of positive squares in only one way, i.e., 326016572053041 + 116148880463121 = 18055929^2 + 10777239^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442165452516099 and 442165452516108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12282373680987 + ... + 12282373681022.

Almost surely, 2442165452516162 is an apocalyptic number.

442165452516162 is an abundant number, since it is smaller than the sum of its proper divisors (515859694602228).

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

442165452516162 is a wasteful number, since it uses less digits than its factorization.

442165452516162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24564747362017 (or 24564747362014 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 442165452516162 in words is "four hundred forty-two trillion, one hundred sixty-five billion, four hundred fifty-two million, five hundred sixteen thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 24564747362009 49129494724018 73694242086027 147388484172054 221082726258081 442165452516162