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66500504191872 = 27352683796871
BaseRepresentation
bin11110001111011010110101…
…11011100000001110000000
322201110101102110212101100000
433013231122323200032000
532204021013033114442
6353233524311200000
720002334326042362
oct1707553273401600
9281411373771300
1066500504191872
111a209783a51853
1275602b0376000
132b14c8064b12a
14125c8da6b2d32
157a4c6da63d4c
hex3c7b5aee0380

66500504191872 has 192 divisors, whose sum is σ = 198523828863360. Its totient is φ = 22158544965120.

The previous prime is 66500504191861. The next prime is 66500504191909. The reversal of 66500504191872 is 27819140500566.

It is a happy number.

66500504191872 is a `hidden beast` number, since 6 + 6 + 50 + 0 + 504 + 1 + 9 + 1 + 87 + 2 = 666.

66500504191872 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 83053597 + ... + 83850467.

It is an arithmetic number, because the mean of its divisors is an integer number (1033978275330).

Almost surely, 266500504191872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66500504191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99261914431680).

66500504191872 is an abundant number, since it is smaller than the sum of its proper divisors (132023324671488).

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

66500504191872 is an equidigital number, since it uses as much as digits as its factorization.

66500504191872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799583 (or 799559 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 66500504191872 in words is "sixty-six trillion, five hundred billion, five hundred four million, one hundred ninety-one thousand, eight hundred seventy-two".