Search a number
-
+
66076992000 = 29335338239
BaseRepresentation
bin111101100010011111…
…101110001000000000
320022120000111222121000
4331202133232020000
52040311202221000
650204431132000
74526310110355
oct754237561000
9208500458530
1066076992000
11260288150a8
1210981074000
136300772146
1432ab9c462c
151abaee8000
hexf627ee200

66076992000 has 320 divisors, whose sum is σ = 244105804800. Its totient is φ = 17620070400.

The previous prime is 66076991983. The next prime is 66076992017. The reversal of 66076992000 is 29967066.

It is an interprime number because it is at equal distance from previous prime (66076991983) and next prime (66076992017).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708881 + ... + 1747119.

It is an arithmetic number, because the mean of its divisors is an integer number (762830640).

Almost surely, 266076992000 is an apocalyptic number.

66076992000 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 66076992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122052902400).

66076992000 is an abundant number, since it is smaller than the sum of its proper divisors (178028812800).

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

66076992000 is an equidigital number, since it uses as much as digits as its factorization.

66076992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38281 (or 38249 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 66076992000 in words is "sixty-six billion, seventy-six million, nine hundred ninety-two thousand".