Search a number
-
+
66160584336 = 2437115367712
BaseRepresentation
bin111101100111011110…
…100110011010010000
320022202211210220201110
4331213132212122100
52040444102144321
650221014533320
74531343454660
oct754736463220
9208684726643
1066160584336
1126070a1a280
12109a5067240
136314b8c672
1432b8b441a0
151ac350b176
hexf677a6690

66160584336 has 480 divisors, whose sum is σ = 223496838144. Its totient is φ = 16374758400.

The previous prime is 66160584331. The next prime is 66160584379. The reversal of 66160584336 is 63348506166.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66160584331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 931839181 + ... + 931839251.

Almost surely, 266160584336 is an apocalyptic number.

66160584336 is a gapful number since it is divisible by the number (66) 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 66160584336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111748419072).

66160584336 is an abundant number, since it is smaller than the sum of its proper divisors (157336253808).

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

66160584336 is a wasteful number, since it uses less digits than its factorization.

66160584336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 66160584336 in words is "sixty-six billion, one hundred sixty million, five hundred eighty-four thousand, three hundred thirty-six".