Search a number
-
+
6666395904 = 2831272
BaseRepresentation
bin1100011010101100…
…10010000100000000
3122012121000000000000
412031112102010000
5102123044132104
63021300000000
7324125300400
oct61526220400
918177000000
106666395904
112911008a03
121360690000
1382317087c
1447351a800
152903bd639
hex18d592100

6666395904 has 351 divisors, whose sum is σ = 23218908447. Its totient is φ = 1904684544.

The previous prime is 6666395873. The next prime is 6666395921. The reversal of 6666395904 is 4095936666.

It is a happy number.

The square root of 6666395904 is 81648.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 952342269 + ... + 952342275.

Almost surely, 26666395904 is an apocalyptic number.

6666395904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6666395904 is the 81648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6666395904

6666395904 is an abundant number, since it is smaller than the sum of its proper divisors (16552512543).

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

6666395904 is an frugal number, since it uses more digits than its factorization.

6666395904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The cubic root of 6666395904 is about 1882.0465776746.

The spelling of 6666395904 in words is "six billion, six hundred sixty-six million, three hundred ninety-five thousand, nine hundred four".