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41066052558399 = 321122112515871213
BaseRepresentation
bin10010101011001011011110…
…11110011001111000111111
312101101212122210220001210100
421111211233132121320333
520340311233423332044
6223201252322212143
711435632031220231
oct1125455736317077
9171355583801710
1041066052558399
11120a3019096800
124732a61ab4053
1319bb68722bc8b
14a1d871186251
154b3350251869
hex25596f799e3f

41066052558399 has 144 divisors (see below), whose sum is σ = 65936730367872. Its totient is φ = 24609538800000.

The previous prime is 41066052558379. The next prime is 41066052558431. The reversal of 41066052558399 is 99385525066014.

41066052558399 is a `hidden beast` number, since 4 + 10 + 6 + 6 + 0 + 525 + 5 + 8 + 3 + 99 = 666.

It is a Cunningham number, because it is equal to 64082802-1.

It is not a de Polignac number, because 41066052558399 - 217 = 41066052427327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41066052558379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33854947917 + ... + 33854949129.

It is an arithmetic number, because the mean of its divisors is an integer number (457893960888).

Almost surely, 241066052558399 is an apocalyptic number.

41066052558399 is a deficient number, since it is larger than the sum of its proper divisors (24870677809473).

41066052558399 is a wasteful number, since it uses less digits than its factorization.

41066052558399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 41066052558399 in words is "forty-one trillion, sixty-six billion, fifty-two million, five hundred fifty-eight thousand, three hundred ninety-nine".

Divisors: 1 3 9 11 33 99 121 211 251 363 587 633 753 1089 1213 1761 1899 2259 2321 2761 3639 5283 6457 6963 8283 10917 13343 19371 20889 24849 25531 30371 40029 52961 58113 71027 76593 91113 120087 123857 146773 147337 158883 213081 229779 255943 273339 304463 371571 440319 442011 476649 582571 639243 712031 767829 913389 1114713 1320957 1326033 1362427 1620707 1747713 2136093 2303487 2740167 2815373 3349093 4087281 4862121 5243139 6408279 6408281 7832341 8446119 10047279 12261843 14586363 14986697 17827777 19224843 23497023 25338357 30141837 30969103 31088107 36840023 44960091 53483331 57674529 64241693 70491069 86155751 92907309 93264321 110520069 134880273 150238541 160449993 178719781 192725079 258467253 278721927 279792963 331560207 341969177 450715623 536159343 578175237 706658623 775401759 1025907531 1352146869 1608478029 1652623951 1965917591 2119975869 3077722593 3761660947 4957871853 5897752773 6359927607 7773244853 11284982841 14873615559 17693258319 18178863461 21625093501 23319734559 33854948523 37709873791 54536590383 64875280503 69959203677 113129621373 163609771149 194625841509 339388864119 414808611701 1244425835103 3733277505309 4562894728711 13688684186133 41066052558399