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2116037673 = 32793538431
BaseRepresentation
bin111111000100000…
…0010110000101001
312110110200211222200
41332020002300221
513313201201143
6545550010413
7103303011021
oct17610026051
95413624880
102116037673
119964a2472
124b07a6a09
132795148c9
14161062a81
15c5b841d3
hex7e202c29

2116037673 has 24 divisors (see below), whose sum is σ = 3104325120. Its totient is φ = 1388724480.

The previous prime is 2116037669. The next prime is 2116037683. The reversal of 2116037673 is 3767306112.

2116037673 is a `hidden beast` number, since 211 + 6 + 0 + 376 + 73 = 666.

It is not a de Polignac number, because 2116037673 - 22 = 2116037669 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2116037633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246768 + ... + 255198.

It is an arithmetic number, because the mean of its divisors is an integer number (129346880).

Almost surely, 22116037673 is an apocalyptic number.

It is an amenable number.

2116037673 is a deficient number, since it is larger than the sum of its proper divisors (988287447).

2116037673 is a wasteful number, since it uses less digits than its factorization.

2116037673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 2116037673 is about 46000.4094873078. The cubic root of 2116037673 is about 1283.8308235634.

The spelling of 2116037673 in words is "two billion, one hundred sixteen million, thirty-seven thousand, six hundred seventy-three".

Divisors: 1 3 9 79 237 353 711 1059 3177 8431 25293 27887 75879 83661 250983 666049 1998147 2976143 5994441 8928429 26785287 235115297 705345891 2116037673