Search a number
-
+
3666741696 = 2637172367
BaseRepresentation
bin1101101010001110…
…0000100111000000
3100110112121210000000
43122203200213000
530002141213241
61403503000000
7156602535012
oct33243404700
910415553000
103666741696
111611864342
12863b99000
1346587a857
1426ada41b2
15166d96eb6
hexda8e09c0

3666741696 has 448 divisors, whose sum is σ = 12236866560. Its totient is φ = 1083912192.

The previous prime is 3666741691. The next prime is 3666741697. The reversal of 3666741696 is 6961476663.

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

Its product of digits (5878656) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3666741691) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 54727455 + ... + 54727521.

Almost surely, 23666741696 is an apocalyptic number.

3666741696 is a gapful number since it is divisible by the number (36) 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 3666741696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118433280).

3666741696 is an abundant number, since it is smaller than the sum of its proper divisors (8570124864).

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

3666741696 is an equidigital number, since it uses as much as digits as its factorization.

3666741696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3666741696 is about 60553.6266131105. The cubic root of 3666741696 is about 1542.0321875520.

The spelling of 3666741696 in words is "three billion, six hundred sixty-six million, seven hundred forty-one thousand, six hundred ninety-six".