Search a number
-
+
66673342080 = 2734523199281
BaseRepresentation
bin111110000110000010…
…100111011010000000
320101002120122201010000
4332012002213122000
52043021333421310
650343533040000
74550141025342
oct760602473200
9211076581100
1066673342080
11263043aa804
1210b08926000
136397190607
143326c9b292
151b035444c0
hexf860a7680

66673342080 has 640 divisors, whose sum is σ = 250591968000. Its totient is φ = 16860856320.

The previous prime is 66673342079. The next prime is 66673342091. The reversal of 66673342080 is 8024337666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 237271540 + ... + 237271820.

It is an arithmetic number, because the mean of its divisors is an integer number (391549950).

Almost surely, 266673342080 is an apocalyptic number.

66673342080 is a gapful number since it is divisible by the number (60) 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 66673342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125295984000).

66673342080 is an abundant number, since it is smaller than the sum of its proper divisors (183918625920).

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

66673342080 is a wasteful number, since it uses less digits than its factorization.

66673342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 66673342080 in words is "sixty-six billion, six hundred seventy-three million, three hundred forty-two thousand, eighty".