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2083314694041 = 337212371272991
BaseRepresentation
bin11110010100001111001…
…110110111011110011001
321101011101210010211101000
4132110033032313132121
5233113112030202131
64233021144015213
7303341323501500
oct36241716673631
97334353124330
102083314694041
1173358a918629
12297915a61509
131215c03247b9
1472b9394b837
15392d24a2ce6
hex1e50f3b7799

2083314694041 has 48 divisors (see below), whose sum is σ = 3593198138880. Its totient is φ = 1189502223840.

The previous prime is 2083314694031. The next prime is 2083314694051. The reversal of 2083314694041 is 1404964133802.

2083314694041 is a `hidden beast` number, since 2 + 0 + 83 + 31 + 469 + 40 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (2083314694031) and next prime (2083314694051).

It is not a de Polignac number, because 2083314694041 - 234 = 2066134824857 is a prime.

It is a super-2 number, since 2×20833146940412 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2083314694001) 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, 1000056 + ... + 2273046.

It is an arithmetic number, because the mean of its divisors is an integer number (74858294560).

Almost surely, 22083314694041 is an apocalyptic number.

2083314694041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2083314694041 is a deficient number, since it is larger than the sum of its proper divisors (1509883444839).

2083314694041 is a wasteful number, since it uses less digits than its factorization.

2083314694041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274251 (or 1274238 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2083314694041 in words is "two trillion, eighty-three billion, three hundred fourteen million, six hundred ninety-four thousand, forty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1237 1323 3711 8659 11133 25977 33399 60613 77931 181839 233793 545517 1272991 1636551 3818973 8910937 11456919 26732811 34370757 62376559 80198433 187129677 240595299 561389031 1574689867 1684167093 4724069601 11022829069 14172208803 33068487207 42516626409 77159803483 99205461621 231479410449 297616384863 694438231347 2083314694041