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66731620816328 = 231317113993311179
BaseRepresentation
bin11110010110001001010101…
…00011011101010111001000
322202021110222101120100222212
433023010222203131113020
532221312324412110303
6353532030002404252
720025125525661206
oct1713045243352710
9282243871510885
1066731620816328
111a2987a3296506
127599050960688
132b309c3483c10
141269b83228076
157aac98b7dad8
hex3cb12a8dd5c8

66731620816328 has 64 divisors (see below), whose sum is σ = 142685368560000. Its totient is φ = 28984939656192.

The previous prime is 66731620816261. The next prime is 66731620816331. The reversal of 66731620816328 is 82361802613766.

66731620816328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×667316208163282 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18497843 + ... + 21809021.

It is an arithmetic number, because the mean of its divisors is an integer number (2229458883750).

Almost surely, 266731620816328 is an apocalyptic number.

66731620816328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

66731620816328 is an abundant number, since it is smaller than the sum of its proper divisors (75953747743672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66731620816328 is a wasteful number, since it uses less digits than its factorization.

66731620816328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322614 (or 3322610 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 59.

The spelling of 66731620816328 in words is "sixty-six trillion, seven hundred thirty-one billion, six hundred twenty million, eight hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 11399 22798 45596 91192 148187 193783 296374 387566 592748 775132 1185496 1550264 2519179 3311179 5038358 6622358 10076716 13244716 20153432 26489432 43045327 56290043 86090654 112580086 172181308 225160172 344362616 450320344 731770559 1463541118 2927082236 5854164472 37744129421 75488258842 150976517684 301953035368 490673682473 641650200157 981347364946 1283300400314 1962694729892 2566600800628 3925389459784 5133201601256 8341452602041 16682905204082 33365810408164 66731620816328