Search a number
-
+
4451731812 = 22361133137
BaseRepresentation
bin1000010010101100…
…00000100101100100
3102111020201102000000
410021112000211210
533104120404222
62013424021300
7215214044643
oct41126004544
912436642000
104451731812
111984983000
12a42a61830
1355c3a6748
1430334335a
151b0c569ac
hex109580964

4451731812 has 336 divisors, whose sum is σ = 13620493824. Its totient is φ = 1270209600.

The previous prime is 4451731789. The next prime is 4451731813. The reversal of 4451731812 is 2181371544.

It is a super-2 number, since 2×44517318122 = 39635832251945606688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (26880) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (4451731813) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 120317058 + ... + 120317094.

It is an arithmetic number, because the mean of its divisors is an integer number (40537184).

Almost surely, 24451731812 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 4451731812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6810246912).

4451731812 is an abundant number, since it is smaller than the sum of its proper divisors (9168762012).

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

4451731812 is a wasteful number, since it uses less digits than its factorization.

4451731812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 4451731812 is about 66721.2995377039. The cubic root of 4451731812 is about 1645.0395018892.

It can be divided in two parts, 445173 and 1812, that added together give a triangular number (446985 = T945).

The spelling of 4451731812 in words is "four billion, four hundred fifty-one million, seven hundred thirty-one thousand, eight hundred twelve".