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665016171000066 = 23419354121210173
BaseRepresentation
bin1001011100110101000010010…
…0101001000111000100000010
310020012121220222100222201220000
42113031100210221013010002
51144131111104234000231
610314212113400100430
7260034555442343604
oct22715204451070402
93205556870881800
10665016171000066
11182992857659276
126270470a164716
132270b9a9777b62
14ba30d50cb3174
1551d38e3eb46e6
hex25cd424a47102

665016171000066 has 40 divisors (see below), whose sum is σ = 1490136597159804. Its totient is φ = 221670901199520.

The previous prime is 665016171000061. The next prime is 665016171000067. The reversal of 665016171000066 is 660000171610566.

665016171000066 is a `hidden beast` number, since 66 + 501 + 6 + 17 + 10 + 0 + 0 + 0 + 66 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 601985607806025 + 63030563194041 = 24535395^2 + 7939179^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 665016170999985 and 665016171000030.

It is not an unprimeable number, because it can be changed into a prime (665016171000061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20748556 + ... + 41958728.

Almost surely, 2665016171000066 is an apocalyptic number.

665016171000066 is an abundant number, since it is smaller than the sum of its proper divisors (825120426159738).

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

665016171000066 is a wasteful number, since it uses less digits than its factorization.

665016171000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21403728 (or 21403719 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 665016171000066 in words is "six hundred sixty-five trillion, sixteen billion, one hundred seventy-one million, sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 81 162 193541 387082 580623 1161246 1741869 3483738 5225607 10451214 15676821 21210173 31353642 42420346 63630519 127261038 190891557 381783114 572674671 1145349342 1718024013 3436048026 4105038092593 8210076185186 12315114277779 24630228555558 36945342833337 73890685666674 110836028500011 221672057000022 332508085500033 665016171000066