Search a number
-
+
66623242862064 = 243710719972712809
BaseRepresentation
bin11110010010111111011101…
…01110010111110111110000
322201220010020100022212001210
433021133232232113313300
532213023400133041224
6353410143435000120
720014241031400110
oct1711375656276760
9281803210285053
1066623242862064
111a256838805369
127580045299040
132b2371103b3b5
141264821637040
157a805418c429
hex3c97eeb97df0

66623242862064 has 320 divisors, whose sum is σ = 199823210496000. Its totient is φ = 18735281731584.

The previous prime is 66623242862039. The next prime is 66623242862107. The reversal of 66623242862064 is 46026824232666.

It is a happy number.

It is a super-2 number, since 2×666232428620642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66623242861995 and 66623242862013.

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, 5201277292 + ... + 5201290100.

It is an arithmetic number, because the mean of its divisors is an integer number (624447532800).

Almost surely, 266623242862064 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 66623242862064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99911605248000).

66623242862064 is an abundant number, since it is smaller than the sum of its proper divisors (133199967633936).

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

66623242862064 is a wasteful number, since it uses less digits than its factorization.

66623242862064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13860 (or 13854 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 57.

The spelling of 66623242862064 in words is "sixty-six trillion, six hundred twenty-three billion, two hundred forty-two million, eight hundred sixty-two thousand, sixty-four".