Search a number
-
+
66368466990 = 234572171931167
BaseRepresentation
bin111101110011110111…
…100111000000101110
320100022022222110010000
4331303313213000232
52041410311420430
650253402325130
74536446442600
oct756367470056
9210268873100
1066368466990
11261682a6621
1210a427b97a6
136348c76857
1432d85b9170
151ad68c0e60
hexf73de702e

66368466990 has 960 divisors, whose sum is σ = 240267202560. Its totient is φ = 13011425280.

The previous prime is 66368466979. The next prime is 66368467037. The reversal of 66368466990 is 9966486366.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 397415887 + ... + 397416053.

It is an arithmetic number, because the mean of its divisors is an integer number (250278336).

Almost surely, 266368466990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66368466990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120133601280).

66368466990 is an abundant number, since it is smaller than the sum of its proper divisors (173898735570).

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

66368466990 is a wasteful number, since it uses less digits than its factorization.

66368466990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 66368466990 in words is "sixty-six billion, three hundred sixty-eight million, four hundred sixty-six thousand, nine hundred ninety".