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168022728000 = 26335323311091
BaseRepresentation
bin1001110001111011101…
…1110101110101000000
3121001200210101221212000
42130132323311311000
510223102304244000
6205104422104000
715065521423521
oct2343673656500
9531623357760
10168022728000
11652924a4486
122869257b000
1312ac9409a5a
1481bd216848
154585e77000
hex271eef5d40

168022728000 has 896 divisors, whose sum is σ = 664618106880. Its totient is φ = 41437440000.

The previous prime is 168022727941. The next prime is 168022728043. The reversal of 168022728000 is 827220861.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 154007455 + ... + 154008545.

It is an arithmetic number, because the mean of its divisors is an integer number (741761280).

Almost surely, 2168022728000 is an apocalyptic number.

168022728000 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 168022728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332309053440).

168022728000 is an abundant number, since it is smaller than the sum of its proper divisors (496595378880).

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

168022728000 is a wasteful number, since it uses less digits than its factorization.

168022728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 168022728000 its reverse (827220861), we get a palindrome (168849948861).

The spelling of 168022728000 in words is "one hundred sixty-eight billion, twenty-two million, seven hundred twenty-eight thousand".