Search a number
-
+
6656403936 = 2537136112491
BaseRepresentation
bin1100011001100000…
…01010100111100000
3122011220012100121010
412030300022213200
5102113014411221
63020301500520
7323644333320
oct61460124740
918156170533
106656403936
112906403886
121359271740
13821082870
14472079280
1528e597c76
hex18cc0a9e0

6656403936 has 192 divisors, whose sum is σ = 21859600896. Its totient is φ = 1726617600.

The previous prime is 6656403869. The next prime is 6656403947. The reversal of 6656403936 is 6393046566.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526651 + ... + 539141.

It is an arithmetic number, because the mean of its divisors is an integer number (113852088).

Almost surely, 26656403936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6656403936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10929800448).

6656403936 is an abundant number, since it is smaller than the sum of its proper divisors (15203196960).

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

6656403936 is a wasteful number, since it uses less digits than its factorization.

6656403936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12585 (or 12577 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The square root of 6656403936 is about 81586.7877539004. The cubic root of 6656403936 is about 1881.1058018399.

The spelling of 6656403936 in words is "six billion, six hundred fifty-six million, four hundred three thousand, nine hundred thirty-six".