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67327913990241 = 3319472792414831
BaseRepresentation
bin11110100111100000000000…
…11001011001100001100001
322211101111010002101011001000
433103300000121121201201
532311100031440141431
6355110003334502213
720116165321222122
oct1723600031314141
9284344102334030
1067327913990241
111a4a8676237773
127674726204969
132b74cc216a7b8
14128a98d072049
157bb5483879e6
hex3d3c00659861

67327913990241 has 32 divisors (see below), whose sum is σ = 107228729548800. Its totient is φ = 41618150626320.

The previous prime is 67327913990237. The next prime is 67327913990299. The reversal of 67327913990241 is 14209931972376.

67327913990241 is a `hidden beast` number, since 6 + 7 + 3 + 279 + 1 + 39 + 90 + 241 = 666.

It is not a de Polignac number, because 67327913990241 - 22 = 67327913990237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67327913970241) 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 31 ways as a sum of consecutive naturals, for example, 1396183305 + ... + 1396231526.

It is an arithmetic number, because the mean of its divisors is an integer number (3350897798400).

Almost surely, 267327913990241 is an apocalyptic number.

It is an amenable number.

67327913990241 is a deficient number, since it is larger than the sum of its proper divisors (39900815558559).

67327913990241 is a wasteful number, since it uses less digits than its factorization.

67327913990241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792414906 (or 2792414900 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 67327913990241 in words is "sixty-seven trillion, three hundred twenty-seven billion, nine hundred thirteen million, nine hundred ninety thousand, two hundred forty-one".

Divisors: 1 3 9 19 27 47 57 141 171 423 513 893 1269 2679 8037 24111 2792414831 8377244493 25131733479 53055881789 75395200437 131243497057 159167645367 393730491171 477502936101 1181191473513 1432508808303 2493626444083 3543574420539 7480879332249 22442637996747 67327913990241