Search a number
-
+
3718643712 = 217372193
BaseRepresentation
bin1101110110100110…
…0000000000000000
3100121011021200011220
43131221200000000
530103433044322
61412555235040
7161102643600
oct33551400000
910534250156
103718643712
111639094073
12879448a80
134735508c4
14273c34c00
1516b6ea55c
hexdda60000

3718643712 has 216 divisors, whose sum is σ = 11595109176. Its totient is φ = 1056964608.

The previous prime is 3718643689. The next prime is 3718643723. The reversal of 3718643712 is 2173468173.

It is a super-2 number, since 2×37186437122 = 27656622113594277888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19267488 + ... + 19267680.

It is an arithmetic number, because the mean of its divisors is an integer number (53681061).

Almost surely, 23718643712 is an apocalyptic number.

3718643712 is a gapful number since it is divisible by the number (32) 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 3718643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797554588).

3718643712 is an abundant number, since it is smaller than the sum of its proper divisors (7876465464).

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

3718643712 is an frugal number, since it uses more digits than its factorization.

3718643712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 205 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 3718643712 is about 60980.6831053900. The cubic root of 3718643712 is about 1549.2738481379.

The spelling of 3718643712 in words is "three billion, seven hundred eighteen million, six hundred forty-three thousand, seven hundred twelve".