Search a number
-
+
12233121817744 = 248743972
BaseRepresentation
bin1011001000000011111011…
…1000010110010010010000
31121022110211021220110112101
42302000332320112102100
53100411413141131434
642003452451410144
72401546106532562
oct262007670262220
947273737813471
1012233121817744
1139970463929a3
121456a3b8b3954
136a9769a9a789
1430412c981332
151633290c6b14
hexb203ee16490

12233121817744 has 15 divisors (see below), whose sum is σ = 23701700628217. Its totient is φ = 6116553913696.

The previous prime is 12233121817739. The next prime is 12233121817747. The reversal of 12233121817744 is 44771812133221.

The square root of 12233121817744 is 3497588.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7741638464400 + 4491483353344 = 2782380^2 + 2119312^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12233121817694 and 12233121817703.

It is not an unprimeable number, because it can be changed into a prime (12233121817747) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13553154 + ... + 14427550.

Almost surely, 212233121817744 is an apocalyptic number.

12233121817744 is the 3497588-th square number.

It is an amenable number.

12233121817744 is a deficient number, since it is larger than the sum of its proper divisors (11468578810473).

12233121817744 is an frugal number, since it uses more digits than its factorization.

12233121817744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748802 (or 874399 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

The spelling of 12233121817744 in words is "twelve trillion, two hundred thirty-three billion, one hundred twenty-one million, eight hundred seventeen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 874397 1748794 3497588 6995176 13990352 764570113609 1529140227218 3058280454436 6116560908872 12233121817744