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180000806418 = 23410429106541
BaseRepresentation
bin1010011110100011100…
…0100101011000010010
3122012121120021101110000
42213220320211120102
510422120201301133
6214405145550430
716001405416116
oct2475070453022
9565546241400
10180000806418
116a379843044
122aa75aa5416
1313c87b67614
1489d7d69746
154a37817413
hex29e8e25612

180000806418 has 40 divisors (see below), whose sum is σ = 403377600780. Its totient is φ = 59993952480.

The previous prime is 180000806371. The next prime is 180000806429. The reversal of 180000806418 is 814608000081.

180000806418 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 0 + 0 + 8 + 0 + 641 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 179409003489 + 591802929 = 423567^2 + 24327^2 .

It is a super-2 number, since 2×1800008064182 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1636228 + ... + 1742768.

Almost surely, 2180000806418 is an apocalyptic number.

180000806418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

180000806418 is an abundant number, since it is smaller than the sum of its proper divisors (223376794362).

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

180000806418 is a wasteful number, since it uses less digits than its factorization.

180000806418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116984 (or 116975 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 180000806418 its reverse (814608000081), we get a palindrome (994608806499).

The spelling of 180000806418 in words is "one hundred eighty billion, eight hundred six thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 10429 20858 31287 62574 93861 106541 187722 213082 281583 319623 563166 639246 844749 958869 1689498 1917738 2876607 5753214 8629821 17259642 1111116089 2222232178 3333348267 6666696534 10000044801 20000089602 30000134403 60000268806 90000403209 180000806418