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180198000060 = 2235132911716803
BaseRepresentation
bin1010011111010010100…
…0110100010110111100
3122020010022022212021020
42213310220310112330
510423021142000220
6214440512304140
716006321504521
oct2476450642674
9566108285236
10180198000060
116a4700895a1
122ab0bb42050
1313cb997b450
148a1621b148
154a49cba040
hex29f4a345bc

180198000060 has 192 divisors, whose sum is σ = 562665761280. Its totient is φ = 42784035840.

The previous prime is 180198000007. The next prime is 180198000061. The reversal of 180198000060 is 60000891081.

It is a junction number, because it is equal to n+sod(n) for n = 180197999985 and 180198000030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180198000061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26484619 + ... + 26491421.

It is an arithmetic number, because the mean of its divisors is an integer number (2930550840).

Almost surely, 2180198000060 is an apocalyptic number.

180198000060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180198000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281332880640).

180198000060 is an abundant number, since it is smaller than the sum of its proper divisors (382467761220).

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

180198000060 is a wasteful number, since it uses less digits than its factorization.

180198000060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 180198000060 in words is "one hundred eighty billion, one hundred ninety-eight million, sixty", and thus it is an aban number.