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168845214720 = 210357131131069
BaseRepresentation
bin1001110100111111110…
…1011000010000000000
3121010211010001121112010
42131033331120100000
510231243333332340
6205322202532520
715125066434140
oct2351775302000
9533733047463
10168845214720
11656747a3976
1228881b07140
1312bca933ba0
14825a556920
1545d3291b80
hex274ff58400

168845214720 has 704 divisors, whose sum is σ = 671174945280. Its totient is φ = 35276193792.

The previous prime is 168845214689. The next prime is 168845214779. The reversal of 168845214720 is 27412548861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 168845214720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157946346 + ... + 157947414.

Almost surely, 2168845214720 is an apocalyptic number.

168845214720 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 168845214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335587472640).

168845214720 is an abundant number, since it is smaller than the sum of its proper divisors (502329730560).

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

168845214720 is a wasteful number, since it uses less digits than its factorization.

168845214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 168845214720 in words is "one hundred sixty-eight billion, eight hundred forty-five million, two hundred fourteen thousand, seven hundred twenty".