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66143201355000 = 23325471143557797
BaseRepresentation
bin11110000101000001010100…
…00001010110010011111000
322200012020011102112122002100
433002200222001112103320
532132142234021330000
6352401433415303400
716634455122041460
oct1702405201262370
9280166142478070
1066143201355000
111a0911a08a7030
127502bb437ab60
132aba37aac4773
1412494c2db2ba0
1579a80a826a00
hex3c282a0564f8

66143201355000 has 1920 divisors, whose sum is σ = 286448561118720. Its totient is φ = 13383498240000.

The previous prime is 66143201354977. The next prime is 66143201355001. The reversal of 66143201355000 is 55310234166.

66143201355000 is a `hidden beast` number, since 6 + 6 + 14 + 3 + 2 + 0 + 135 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66143201355001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 82990214602 + ... + 82990215398.

It is an arithmetic number, because the mean of its divisors is an integer number (149191958916).

Almost surely, 266143201355000 is an apocalyptic number.

66143201355000 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 66143201355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143224280559360).

66143201355000 is an abundant number, since it is smaller than the sum of its proper divisors (220305359763720).

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

66143201355000 is a wasteful number, since it uses less digits than its factorization.

66143201355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 66143201355000 its reverse (55310234166), we get a palindrome (66198511589166).

The spelling of 66143201355000 in words is "sixty-six trillion, one hundred forty-three billion, two hundred one million, three hundred fifty-five thousand".