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90504006806673 = 3316724183285717
BaseRepresentation
bin10100100101000000011011…
…001011010010110010010001
3102212110002122211210212011000
4110211000123023102302101
543330304201220303143
6520252544452412213
725030461441610365
oct2445003313226221
9385402584725130
1090504006806673
1126923596453829
12a198348917069
133b666502a1115
14184c5bb10d2a5
15a6e33c12bbd3
hex52501b2d2c91

90504006806673 has 32 divisors (see below), whose sum is σ = 135442566040320. Its totient is φ = 59725852657920.

The previous prime is 90504006806671. The next prime is 90504006806687. The reversal of 90504006806673 is 37660860040509.

90504006806673 is a `hidden beast` number, since 9 + 0 + 50 + 400 + 68 + 0 + 66 + 73 = 666.

It is not a de Polignac number, because 90504006806673 - 21 = 90504006806671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90504006806671) 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, 40556190 + ... + 42729527.

It is an arithmetic number, because the mean of its divisors is an integer number (4232580188760).

Almost surely, 290504006806673 is an apocalyptic number.

It is an amenable number.

90504006806673 is a deficient number, since it is larger than the sum of its proper divisors (44938559233647).

90504006806673 is a wasteful number, since it uses less digits than its factorization.

90504006806673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83286134 (or 83286128 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 90504006806673 in words is "ninety trillion, five hundred four billion, six million, eight hundred six thousand, six hundred seventy-three".

Divisors: 1 3 9 27 167 241 501 723 1503 2169 4509 6507 40247 120741 362223 1086669 83285717 249857151 749571453 2248714359 13908714739 20071857797 41726144217 60215573391 125178432651 180646720173 375535297953 541940160519 3352000252099 10056000756297 30168002268891 90504006806673