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168143274684 = 223371119256009
BaseRepresentation
bin1001110010011000011…
…1101100001010111100
3121002000012020100211000
42130212013230022330
510223324134242214
6205124405530300
715101514152550
oct2344607541274
9532005210730
10168143274684
1165344549a40
1228706a13990
1312b18395758
1481d1235860
154591839809
hex27261ec2bc

168143274684 has 288 divisors, whose sum is σ = 573614092800. Its totient is φ = 41374229760.

The previous prime is 168143274667. The next prime is 168143274697. The reversal of 168143274684 is 486472341861.

168143274684 is a `hidden beast` number, since 1 + 6 + 81 + 432 + 74 + 68 + 4 = 666.

168143274684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 168143274684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2974072 + ... + 3030080.

It is an arithmetic number, because the mean of its divisors is an integer number (1991715600).

Almost surely, 2168143274684 is an apocalyptic number.

168143274684 is a gapful number since it is divisible by the number (14) 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 168143274684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286807046400).

168143274684 is an abundant number, since it is smaller than the sum of its proper divisors (405470818116).

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

168143274684 is a wasteful number, since it uses less digits than its factorization.

168143274684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56078 (or 56051 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 168143274684 in words is "one hundred sixty-eight billion, one hundred forty-three million, two hundred seventy-four thousand, six hundred eighty-four".