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180198000216 = 2333134110115497
BaseRepresentation
bin1010011111010010100…
…0110100011001011000
3122020010022022212111000
42213310220310121120
510423021142001331
6214440512305000
716006321505133
oct2476450643130
9566108285430
10180198000216
116a470089723
122ab0bb42160
1313cb997b540
148a1621b21a
154a49cba0e6
hex29f4a34658

180198000216 has 256 divisors, whose sum is σ = 557704828800. Its totient is φ = 53554176000.

The previous prime is 180198000119. The next prime is 180198000223. The reversal of 180198000216 is 612000891081.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11620180 + ... + 11635676.

Almost surely, 2180198000216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180198000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278852414400).

180198000216 is an abundant number, since it is smaller than the sum of its proper divisors (377506828584).

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

180198000216 is a wasteful number, since it uses less digits than its factorization.

180198000216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15667 (or 15657 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Adding to 180198000216 its reverse (612000891081), we get a palindrome (792198891297).

The spelling of 180198000216 in words is "one hundred eighty billion, one hundred ninety-eight million, two hundred sixteen", and thus it is an aban number.