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42505506314523 = 33713713911809949
BaseRepresentation
bin10011010101000100101011…
…00110101101100100011011
312120111111010211002100001000
421222202111212231210123
521032402234104031043
6230222432100000043
711644631033242320
oct1152422546554433
9176444124070030
1042505506314523
11125a853621aa0a
124925a28090023
131a94337991775
14a6d3c55aab47
154da9ebe482d3
hex26a8959ad91b

42505506314523 has 64 divisors (see below), whose sum is σ = 73013834880000. Its totient is φ = 23938103238912.

The previous prime is 42505506314503. The next prime is 42505506314533. The reversal of 42505506314523 is 32541360550524.

42505506314523 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 5 + 5 + 0 + 631 + 4 + 5 + 2 + 3 = 666.

42505506314523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42505506314523 - 224 = 42505489537307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42505506314503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2305848 + ... + 9504101.

It is an arithmetic number, because the mean of its divisors is an integer number (1140841170000).

Almost surely, 242505506314523 is an apocalyptic number.

42505506314523 is a deficient number, since it is larger than the sum of its proper divisors (30508328565477).

42505506314523 is a wasteful number, since it uses less digits than its factorization.

42505506314523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11810241 (or 11810235 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 42505506314523 in words is "forty-two trillion, five hundred five billion, five hundred six million, three hundred fourteen thousand, five hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 137 139 189 411 417 959 973 1233 1251 2877 2919 3699 3753 8631 8757 19043 25893 26271 57129 133301 171387 399903 514161 1199709 3599127 11809949 35429847 82669643 106289541 248008929 318868623 744026787 1617963013 1641582911 2232080361 4853889039 4924748733 11325741091 11491080377 14561667117 14774246199 33977223273 34473241131 43685001351 44322738597 101931669819 103419723393 224896858807 305795009457 310259170179 674690576421 1574278011649 2024071729263 4722834034947 6072215187789 14168502104841 42505506314523