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168197828328 = 2332611312831033
BaseRepresentation
bin1001110010100101011…
…1110010111011101000
3121002010222212222100100
42130221113302323220
510223432121001303
6205134035105400
715103045644225
oct2345127627350
9532128788310
10168197828328
116537231a9a2
1228721142260
1312b2678670a
1481d859694c
1545965138a3
hex27295f2ee8

168197828328 has 192 divisors, whose sum is σ = 468639737280. Its totient is φ = 54479692800.

The previous prime is 168197828327. The next prime is 168197828363. The reversal of 168197828328 is 823828791861.

168197828328 is a `hidden beast` number, since 168 + 197 + 8 + 283 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (168197828321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162824100 + ... + 162825132.

It is an arithmetic number, because the mean of its divisors is an integer number (2440831965).

Almost surely, 2168197828328 is an apocalyptic number.

168197828328 is a gapful number since it is divisible by the number (18) 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 168197828328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234319868640).

168197828328 is an abundant number, since it is smaller than the sum of its proper divisors (300441908952).

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

168197828328 is a wasteful number, since it uses less digits than its factorization.

168197828328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1513 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The spelling of 168197828328 in words is "one hundred sixty-eight billion, one hundred ninety-seven million, eight hundred twenty-eight thousand, three hundred twenty-eight".