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39442893572005 = 57112924126954493
BaseRepresentation
bin10001111011111100000111…
…01010010000011110100101
312011122201000001220011220021
420331332003222100132211
520132213021223301010
6215515452024035141
711210440446405340
oct1075760352203645
9164581001804807
1039442893572005
1111627701169040
124510369302ab1
1319015ab31c7c1
149a5090c23457
154860009058da
hex23df83a907a5

39442893572005 has 128 divisors (see below), whose sum is σ = 61527823948800. Its totient is φ = 23553098956800.

The previous prime is 39442893572003. The next prime is 39442893572111. The reversal of 39442893572005 is 50027539824493.

It is a happy number.

It is not a de Polignac number, because 39442893572005 - 21 = 39442893572003 is a prime.

It is a super-3 number, since 3×394428935720053 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39442893572003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 723788539 + ... + 723843031.

It is an arithmetic number, because the mean of its divisors is an integer number (480686124600).

Almost surely, 239442893572005 is an apocalyptic number.

39442893572005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

39442893572005 is a deficient number, since it is larger than the sum of its proper divisors (22084930376795).

39442893572005 is a wasteful number, since it uses less digits than its factorization.

39442893572005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55055.

The product of its (nonzero) digits is 65318400, while the sum is 61.

The spelling of 39442893572005 in words is "thirty-nine trillion, four hundred forty-two billion, eight hundred ninety-three million, five hundred seventy-two thousand, five".

Divisors: 1 5 7 11 29 35 55 77 145 203 241 269 319 385 1015 1205 1345 1595 1687 1883 2233 2651 2959 6989 7801 8435 9415 11165 13255 14795 18557 20713 34945 39005 48923 54493 54607 64829 76879 85811 92785 103565 244615 272465 273035 324145 381451 384395 429055 453803 538153 599423 600677 713119 1580297 1880041 1907255 2269015 2690765 2997115 3003385 3565595 4195961 4991833 7901485 9400205 11062079 13132813 13160287 14658617 17383267 20680451 20979805 24959165 55310395 65664065 65801435 73293085 86916335 91929691 102610319 103402255 121682869 144460943 144763157 161244787 380851577 425099893 459648455 513051595 608414345 722304715 723815785 806223935 1011226601 1128713509 1904257885 2125499465 2665961039 2975699251 3532726697 4189367347 4676098823 5056133005 5643567545 13329805195 14878496255 17663633485 20946836735 23380494115 24729086879 29325571429 32732691761 38859993667 102449074213 123645434395 146627857145 163663458805 194299968335 272019955669 512245371065 717143519491 1126939816343 1360099778345 3585717597455 5634699081715 7888578714401 39442893572005