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168444024320 = 29511132272027
BaseRepresentation
bin1001110011100000001…
…0111101011000000000
3121002210011011000202102
42130320002331120000
510224433132234240
6205214312005532
715112125403625
oct2347002753000
9532704130672
10168444024320
1165489295660
122878b6908a8
1312b65796810
14821d16234c
1545ace45815
hex27380bd600

168444024320 has 320 divisors, whose sum is σ = 476802982656. Its totient is φ = 56263802880.

The previous prime is 168444024271. The next prime is 168444024347. The reversal of 168444024320 is 23420444861.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83099147 + ... + 83101173.

Almost surely, 2168444024320 is an apocalyptic number.

168444024320 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 168444024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238401491328).

168444024320 is an abundant number, since it is smaller than the sum of its proper divisors (308358958336).

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

168444024320 is a wasteful number, since it uses less digits than its factorization.

168444024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 168444024320 in words is "one hundred sixty-eight billion, four hundred forty-four million, twenty-four thousand, three hundred twenty".