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32166250504349 = 132761250108861
BaseRepresentation
bin1110101000001010010011…
…11011110110000010011101
311012220001201022012021111012
413110011021323312002131
513204002440112114344
6152224545501305005
76526635450021233
oct724051173660235
9135801638167435
1032166250504349
11a2816a2923475
123736050265165
1314c4358b97100
147d2bd792a953
153abab836029e
hex1d4149ef609d

32166250504349 has 12 divisors (see below), whose sum is σ = 34876680370452. Its totient is φ = 29652906441600.

The previous prime is 32166250504327. The next prime is 32166250504457. The reversal of 32166250504349 is 94340505266123.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 26315802191449 + 5850448312900 = 5129893^2 + 2418770^2 .

It is a de Polignac number, because none of the positive numbers 2k-32166250504349 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32166250504297 and 32166250504306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32166250504309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 124925822 + ... + 125183039.

It is an arithmetic number, because the mean of its divisors is an integer number (2906390030871).

Almost surely, 232166250504349 is an apocalyptic number.

It is an amenable number.

32166250504349 is a deficient number, since it is larger than the sum of its proper divisors (2710429866103).

32166250504349 is a wasteful number, since it uses less digits than its factorization.

32166250504349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250109648 (or 250109635 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 50.

The spelling of 32166250504349 in words is "thirty-two trillion, one hundred sixty-six billion, two hundred fifty million, five hundred four thousand, three hundred forty-nine".

Divisors: 1 13 169 761 9893 128609 250108861 3251415193 42268397509 190332843221 2474326961873 32166250504349