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2164244050521 = 327211343429937
BaseRepresentation
bin11111011111100110111…
…111110111001001011001
321122220021220000002210100
4133133212333313021121
5240424332434104041
64334123501010013
7312234661620300
oct37374677671131
97586256002710
102164244050521
1176493a387a13
122ab540b53909
13129119b61097
1476a6dcc5437
153b46c34b6b6
hex1f7e6ff7259

2164244050521 has 36 divisors (see below), whose sum is σ = 3668700582612. Its totient is φ = 1225766513664.

The previous prime is 2164244050519. The next prime is 2164244050531. The reversal of 2164244050521 is 1250504424612.

2164244050521 is a `hidden beast` number, since 2 + 1 + 6 + 42 + 4 + 40 + 50 + 521 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 403675976025 + 1760568074496 = 635355^2 + 1326864^2 .

It is not a de Polignac number, because 2164244050521 - 21 = 2164244050519 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2164244050511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21665136 + ... + 21764801.

It is an arithmetic number, because the mean of its divisors is an integer number (101908349517).

Almost surely, 22164244050521 is an apocalyptic number.

2164244050521 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2164244050521 is a deficient number, since it is larger than the sum of its proper divisors (1504456532091).

2164244050521 is a wasteful number, since it uses less digits than its factorization.

2164244050521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43430070 (or 43430060 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2164244050521 in words is "two trillion, one hundred sixty-four billion, two hundred forty-four million, fifty thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 113 147 339 441 791 1017 2373 5537 7119 16611 49833 43429937 130289811 304009559 390869433 912028677 2128066913 2736086031 4907582881 6384200739 14722748643 19152602217 34353080167 44168245929 103059240501 240471561169 309177721503 721414683507 2164244050521