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180836143786089 = 321124075012
BaseRepresentation
bin101001000111100000110010…
…000111001110100001101001
3212201021202200210012212101100
4221013200302013032201221
5142200304410302123324
61440334551054312013
753042660136221361
oct5107406207164151
9781252623185340
10180836143786089
11526901a5862500
121834730a7b8609
1379b9a1011a0ac
1432927320d39a1
1515d8e6a6b04c9
hexa478321ce869

180836143786089 has 27 divisors (see below), whose sum is σ = 287113369957687. Its totient is φ = 109597393950000.

The previous prime is 180836143786063. The next prime is 180836143786169. The reversal of 180836143786089 is 980687341638081.

The square root of 180836143786089 is 13447533.

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

180836143786089 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 3 + 6 + 1 + 4 + 3 + 7 + 8 + 608 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154164083536089 + 26672060250000 = 12416283^2 + 5164500^2 .

It is not a de Polignac number, because 180836143786089 - 213 = 180836143777897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180836143786289) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 443564839 + ... + 443972339.

Almost surely, 2180836143786089 is an apocalyptic number.

180836143786089 is the 13447533-rd square number.

180836143786089 is the 6723767-th centered octagonal number.

It is an amenable number.

180836143786089 is a deficient number, since it is larger than the sum of its proper divisors (106277226171598).

180836143786089 is an frugal number, since it uses more digits than its factorization.

180836143786089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815030 (or 407515 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 180836143786089 in words is "one hundred eighty trillion, eight hundred thirty-six billion, one hundred forty-three million, seven hundred eighty-six thousand, eighty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 407501 1222503 3667509 4482511 13447533 40342599 49307621 147922863 443768589 166057065001 498171195003 1494513585009 1826627715011 5479883145033 16439649435099 20092904865121 60278714595363 180836143786089