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66249018422499 = 311157809157110061
BaseRepresentation
bin11110001000000110011010…
…01101011011010011100011
322200120100022000000121210110
433010003031031123103203
532140410442204004444
6352522213502302403
716645222302214443
oct1704031515332343
9280510260017713
1066249018422499
111a122061878030
12751b606287a03
132ac7342810383
141250680824123
1579d4505b1cb9
hex3c40cd35b4e3

66249018422499 has 64 divisors (see below), whose sum is σ = 97167314050560. Its totient is φ = 39816546432000.

The previous prime is 66249018422437. The next prime is 66249018422501. The reversal of 66249018422499 is 99422481094266.

It is a happy number.

66249018422499 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 81393502-1.

It is not a de Polignac number, because 66249018422499 - 236 = 66180298945763 is a prime.

It is a super-2 number, since 2×662490184224992 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66249018422299) 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, 6584729929 + ... + 6584739989.

It is an arithmetic number, because the mean of its divisors is an integer number (1518239282040).

Almost surely, 266249018422499 is an apocalyptic number.

66249018422499 is a deficient number, since it is larger than the sum of its proper divisors (30918295628061).

66249018422499 is a wasteful number, since it uses less digits than its factorization.

66249018422499 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12612.

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 66249018422499 in words is "sixty-six trillion, two hundred forty-nine billion, eighteen million, four hundred twenty-two thousand, four hundred ninety-nine".

Divisors: 1 3 11 33 157 471 809 1571 1727 2427 4713 5181 8899 10061 17281 26697 30183 51843 110671 127013 246647 332013 381039 739941 1270939 1397143 1579577 2713117 3812817 4191429 4738731 8139349 8139351 13980329 15805831 17375347 24418047 41940987 47417493 52126041 89532839 173864141 199537423 268598517 521592423 598612269 1277877793 2194911653 2481515467 3833633379 6584734959 7444546401 12786917279 14056655723 27296670137 38360751837 42169967169 81890010411 140656090069 421968270207 2007546012803 6022638038409 22083006140833 66249018422499