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3745835093055 = 3511223263387083
BaseRepresentation
bin110110100000100101001…
…010111000110000111111
3111021002122200120122120010
4312200211022320300333
5442332432240434210
611544451325554303
7534425166642366
oct66404512706077
914232580518503
103745835093055
111214666290170
12505b74715993
132122ccbca083
14cd42972c7dd
15676876e4920
hex368252b8c3f

3745835093055 has 64 divisors (see below), whose sum is σ = 6592492634112. Its totient is φ = 1801138995840.

The previous prime is 3745835093051. The next prime is 3745835093089. The reversal of 3745835093055 is 5503905385473.

3745835093055 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 19354162-1.

It is not a de Polignac number, because 3745835093055 - 22 = 3745835093051 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 3745835092986 and 3745835093004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3745835093051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9483544 + ... + 9870626.

It is an arithmetic number, because the mean of its divisors is an integer number (103007697408).

Almost surely, 23745835093055 is an apocalyptic number.

3745835093055 is a deficient number, since it is larger than the sum of its proper divisors (2846657541057).

3745835093055 is a wasteful number, since it uses less digits than its factorization.

3745835093055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387588.

The product of its (nonzero) digits is 34020000, while the sum is 57.

The spelling of 3745835093055 in words is "three trillion, seven hundred forty-five billion, eight hundred thirty-five million, ninety-three thousand, fifty-five".

Divisors: 1 3 5 11 15 33 55 165 223 263 669 789 1115 1315 2453 2893 3345 3945 7359 8679 12265 14465 36795 43395 58649 175947 293245 387083 645139 879735 1161249 1935415 1935417 3225695 4257913 5806245 9677085 12773739 21289565 63868695 86319509 101802829 258958527 305408487 431597545 509014145 949514599 1119831119 1294792635 1527042435 2848543797 3359493357 4747572995 5599155595 14242718985 16797466785 22702030867 68106092601 113510154335 249722339537 340530463005 749167018611 1248611697685 3745835093055