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32468290199163 = 327133128112313697
BaseRepresentation
bin1110110000111100111001…
…11001110101111001111011
311020221221022222011112111200
413120132130321311321323
513223430024242333123
6153015420540225243
76560520333042660
oct730363471657173
9136857288145450
1032468290199163
11a3887a7409665
1237846a483b223
13151699245aa10
1480368b8dba67
153b4894b23143
hex1d879ce75e7b

32468290199163 has 192 divisors, whose sum is σ = 59860187971584. Its totient is φ = 16496815104000.

The previous prime is 32468290199129. The next prime is 32468290199201. The reversal of 32468290199163 is 36199109286423.

32468290199163 is a `hidden beast` number, since 3 + 2 + 468 + 2 + 9 + 0 + 1 + 9 + 9 + 163 = 666.

It is a de Polignac number, because none of the positive numbers 2k-32468290199163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 32468290199163.

It is not an unprimeable number, because it can be changed into a prime (32468290199263) 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 191 ways as a sum of consecutive naturals, for example, 8782332531 + ... + 8782336227.

It is an arithmetic number, because the mean of its divisors is an integer number (311771812352).

Almost surely, 232468290199163 is an apocalyptic number.

32468290199163 is a deficient number, since it is larger than the sum of its proper divisors (27391897772421).

32468290199163 is a wasteful number, since it uses less digits than its factorization.

32468290199163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 32468290199163 in words is "thirty-two trillion, four hundred sixty-eight billion, two hundred ninety million, one hundred ninety-nine thousand, one hundred sixty-three".