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2085833337921 = 3210928133722453
BaseRepresentation
bin11110010110100101010…
…110101110110001000001
321101101220022102012020200
4132112211112232301001
5233133241313303141
64234115115155413
7303460615560534
oct36264526566101
97341808365220
102085833337921
117346625a5aa3
122982b9445b69
13121902081018
1472d52252a1b
15393cd662ab6
hex1e5a55aec41

2085833337921 has 48 divisors (see below), whose sum is σ = 3060522413520. Its totient is φ = 1368760135680.

The previous prime is 2085833337919. The next prime is 2085833337949. The reversal of 2085833337921 is 1297333385802.

2085833337921 is a `hidden beast` number, since 2 + 0 + 8 + 583 + 3 + 3 + 37 + 9 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49972367025 + 2035860970896 = 223545^2 + 1426836^2 .

It is not a de Polignac number, because 2085833337921 - 21 = 2085833337919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2085833337961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92886531 + ... + 92908983.

It is an arithmetic number, because the mean of its divisors is an integer number (63760883615).

Almost surely, 22085833337921 is an apocalyptic number.

It is an amenable number.

2085833337921 is a deficient number, since it is larger than the sum of its proper divisors (974689075599).

2085833337921 is a wasteful number, since it uses less digits than its factorization.

2085833337921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23186 (or 23183 counting only the distinct ones).

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

The spelling of 2085833337921 in words is "two trillion, eighty-five billion, eight hundred thirty-three million, three hundred thirty-seven thousand, nine hundred twenty-one".

Divisors: 1 3 9 109 281 327 337 843 981 1011 2529 3033 22453 30629 36733 67359 91887 94697 110199 202077 275661 284091 330597 852273 2447377 6309293 7342131 7566661 10321973 18927879 22026393 22699983 30965919 56783637 68099949 92897757 687712937 824766049 2063138811 2126231741 2474298147 6189416433 6378695223 7422894441 19136085669 231759259769 695277779307 2085833337921