Search a number
-
+
20503320225444 = 2233727120793949
BaseRepresentation
bin1001010100101110011010…
…00111100110011010100100
32200121002122122021010222000
410222113031013212122210
510141411244434203234
6111335032325205300
74214213250241650
oct452271507463244
980532578233860
1020503320225444
116595455824001
122371820560830
13b595bb275a44
1450c51a403a60
15258512214899
hex12a5cd1e66a4

20503320225444 has 48 divisors (see below), whose sum is σ = 60750578448000. Its totient is φ = 5858091492768.

The previous prime is 20503320225403. The next prime is 20503320225497. The reversal of 20503320225444 is 44452202330502.

20503320225444 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 3 + 3 + 202 + 2 + 5 + 444 = 666.

It is a super-2 number, since 2×205033202254442 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20503320225399 and 20503320225408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13560396219 + ... + 13560397730.

It is an arithmetic number, because the mean of its divisors is an integer number (1265637051000).

Almost surely, 220503320225444 is an apocalyptic number.

It is an amenable number.

20503320225444 is an abundant number, since it is smaller than the sum of its proper divisors (40247258222556).

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

20503320225444 is a wasteful number, since it uses less digits than its factorization.

20503320225444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27120793969 (or 27120793961 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 20503320225444 its reverse (44452202330502), we get a palindrome (64955522555946).

The spelling of 20503320225444 in words is "twenty trillion, five hundred three billion, three hundred twenty million, two hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 27120793949 54241587898 81362381847 108483175796 162724763694 189845557643 244087145541 325449527388 379691115286 488174291082 569536672929 732261436623 759382230572 976348582164 1139073345858 1464522873246 1708610018787 2278146691716 2929045746492 3417220037574 5125830056361 6834440075148 10251660112722 20503320225444