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1320086589460 = 225149442982077
BaseRepresentation
bin10011001101011011010…
…010101101000000010100
311200012101002210220212221
4103031123102231000110
5133112014131330320
62450234524552124
7164241655604602
oct23153322550024
94605332726787
101320086589460
11469933513151
12193a123b2644
13976396cb832
1447c6d170872
15245125973aa
hex1335b4ad014

1320086589460 has 24 divisors (see below), whose sum is σ = 2790787091400. Its totient is φ = 524490777984.

The previous prime is 1320086589427. The next prime is 1320086589463. The reversal of 1320086589460 is 649856800231.

It can be written as a sum of positive squares in 4 ways, for example, as 288029715856 + 1032056873604 = 536684^2 + 1015902^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1320086589398 and 1320086589407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320086589463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221488059 + ... + 221494018.

It is an arithmetic number, because the mean of its divisors is an integer number (116282795475).

Almost surely, 21320086589460 is an apocalyptic number.

1320086589460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320086589460 is an abundant number, since it is smaller than the sum of its proper divisors (1470700501940).

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

1320086589460 is a wasteful number, since it uses less digits than its factorization.

1320086589460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442982235 (or 442982233 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 1320086589460 in words is "one trillion, three hundred twenty billion, eighty-six million, five hundred eighty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 442982077 885964154 1771928308 2214910385 4429820770 8859641540 66004329473 132008658946 264017317892 330021647365 660043294730 1320086589460