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66502717693440 = 2935743101284833
BaseRepresentation
bin11110001111011110111101…
…10111010101111000000000
322201110121010201221220122120
433013233132313111320000
532204040031212142230
6353234532102204240
720002443224353620
oct1707573667257000
9281417121856576
1066502717693440
111a20a70a463296
127560809723680
132b152440c9082
14125ca6a666880
157a4d4d04b310
hex3c7bdedd5e00

66502717693440 has 640 divisors, whose sum is σ = 251085445788672. Its totient is φ = 14700065587200.

The previous prime is 66502717693429. The next prime is 66502717693457. The reversal of 66502717693440 is 4439671720566.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×665027176934402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233337264 + ... + 233622096.

Almost surely, 266502717693440 is an apocalyptic number.

66502717693440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66502717693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125542722894336).

66502717693440 is an abundant number, since it is smaller than the sum of its proper divisors (184582728095232).

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

66502717693440 is a wasteful number, since it uses less digits than its factorization.

66502717693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285010 (or 284994 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 66502717693440 in words is "sixty-six trillion, five hundred two billion, seven hundred seventeen million, six hundred ninety-three thousand, four hundred forty".