Search a number
-
+
720720000000 = 210325771113
BaseRepresentation
bin10100111110011100100…
…00100111010000000000
32112220022012211110022100
422133032100213100000
543302013310000000
61311032202510400
7103033053630540
oct12371620472000
92486265743270
10720720000000
11258723718340
12b781b805400
1352c6b067380
1426c5108d320
1513b33146a00
hexa7ce427400

720720000000 has 2112 divisors, whose sum is σ = 3492684808704. Its totient is φ = 138240000000.

The previous prime is 720719999981. The next prime is 720720000017. The reversal of 720720000000 is 27027.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55439999994 + ... + 55440000006.

Almost surely, 2720720000000 is an apocalyptic number.

720720000000 is a gapful number since it is divisible by the number (70) 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 720720000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746342404352).

720720000000 is an abundant number, since it is smaller than the sum of its proper divisors (2771964808704).

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

720720000000 is an equidigital number, since it uses as much as digits as its factorization.

720720000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

Adding to 720720000000 its reverse (27027), we get a palindrome (720720027027).

It can be divided in two parts, 720 and 720000000, that multiplied together give a square (518400000000 = 7200002).

The spelling of 720720000000 in words is "seven hundred twenty billion, seven hundred twenty million", and thus it is an aban number.