Search a number
-
+
66943753047808 = 2872133116637963
BaseRepresentation
bin11110011100010100011101…
…00111101100111100000000
322210000202112020210021022221
433032022032213230330000
532233301301240012213
6354213311404340424
720046345415125400
oct1716121647547400
9283022466707287
1066943753047808
111a36a76041479a
127612193544714
132b479cc154c90
141276148708800
157b156229338d
hex3ce28e9ecf00

66943753047808 has 432 divisors, whose sum is σ = 172925222486016. Its totient is φ = 25610316963840.

The previous prime is 66943753047803. The next prime is 66943753047883. The reversal of 66943753047808 is 80874035734966.

66943753047808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66943753047803) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8406846835 + ... + 8406854797.

Almost surely, 266943753047808 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 66943753047808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86462611243008).

66943753047808 is an abundant number, since it is smaller than the sum of its proper divisors (105981469438208).

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

66943753047808 is a wasteful number, since it uses less digits than its factorization.

66943753047808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9700 (or 9679 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 70.

The spelling of 66943753047808 in words is "sixty-six trillion, nine hundred forty-three billion, seven hundred fifty-three million, forty-seven thousand, eight hundred eight".