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66427680334848 = 21037149136115233
BaseRepresentation
bin11110001101010011001100…
…10010100010010000000000
322201012102110020221010212020
433012221212102202100000
532201322342131203343
6353140242143201440
716664145562342410
oct1706514622422000
9281172406833766
1066427680334848
111a190903868148
12754a1678a6280
132b0b146172681
14125918ca26640
157a2e0a5a4b83
hex3c6a664a2400

66427680334848 has 352 divisors, whose sum is σ = 203868505324800. Its totient is φ = 18836870922240.

The previous prime is 66427680334843. The next prime is 66427680334871. The reversal of 66427680334848 is 84843308672466.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66427680334843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4360767040 + ... + 4360782272.

Almost surely, 266427680334848 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 66427680334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101934252662400).

66427680334848 is an abundant number, since it is smaller than the sum of its proper divisors (137440824989952).

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

66427680334848 is a wasteful number, since it uses less digits than its factorization.

66427680334848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16773 (or 16755 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 69.

The spelling of 66427680334848 in words is "sixty-six trillion, four hundred twenty-seven billion, six hundred eighty million, three hundred thirty-four thousand, eight hundred forty-eight".