Search a number
-
+
720706010000 = 245472070601
BaseRepresentation
bin10100111110011010110…
…11001111101110010000
32112220021020111200122012
422133031123033232100
543302001214310000
61311030543002052
7103032524002424
oct12371533175620
92486236450565
10720706010000
11258716832459
12b7816b99328
1352c681a9672
1426c4d28ab84
1513b31cd1735
hexa7cd6cfb90

720706010000 has 50 divisors (see below), whose sum is σ = 1744901345022. Its totient is φ = 288282400000.

The previous prime is 720706009957. The next prime is 720706010021. The reversal of 720706010000 is 10607027.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 208531049104 + 512174960896 = 456652^2 + 715664^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36025301 + ... + 36045300.

Almost surely, 2720706010000 is an apocalyptic number.

It is an amenable number.

720706010000 is an abundant number, since it is smaller than the sum of its proper divisors (1024195335022).

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

720706010000 is an equidigital number, since it uses as much as digits as its factorization.

720706010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72070629 (or 72070608 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

Adding to 720706010000 its reverse (10607027), we get a palindrome (720716617027).

The spelling of 720706010000 in words is "seven hundred twenty billion, seven hundred six million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 72070601 144141202 288282404 360353005 576564808 720706010 1153129616 1441412020 1801765025 2882824040 3603530050 5765648080 7207060100 9008825125 14414120200 18017650250 28828240400 36035300500 45044125625 72070601000 90088251250 144141202000 180176502500 360353005000 720706010000