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168199234560 = 210355723189
BaseRepresentation
bin1001110010100101110…
…1001010010000000000
3121002011002112102100000
42130221131022100000
510223433001001220
6205134125200000
715103063622100
oct2345135122000
9532132472300
10168199234560
11653730a0475
1228721700000
1312b26b597c6
1481d8841200
1545966e0390
hex272974a400

168199234560 has 1584 divisors, whose sum is σ = 733901575680. Its totient is φ = 36787322880.

The previous prime is 168199234507. The next prime is 168199234573. The reversal of 168199234560 is 65432991861.

168199234560 is a `hidden beast` number, since 1 + 6 + 81 + 99 + 23 + 456 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 168199234497 and 168199234506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1889878996 + ... + 1889879084.

Almost surely, 2168199234560 is an apocalyptic number.

168199234560 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 168199234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366950787840).

168199234560 is an abundant number, since it is smaller than the sum of its proper divisors (565702341120).

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

168199234560 is an equidigital number, since it uses as much as digits as its factorization.

168199234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 168199234560 in words is "one hundred sixty-eight billion, one hundred ninety-nine million, two hundred thirty-four thousand, five hundred sixty".