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168344412390 = 232571167362569
BaseRepresentation
bin1001110011001000011…
…0111110000011100110
3121002112012201012212200
42130302012332003212
510224232132144030
6205200352555330
715106505616060
oct2346206760346
9532465635780
10168344412390
1165438039750
1228762252b46
1312b4ac5a84b
14820dc32730
1545a431ad60
hex27321be0e6

168344412390 has 192 divisors, whose sum is σ = 553844528640. Its totient is φ = 34458462720.

The previous prime is 168344412361. The next prime is 168344412433. The reversal of 168344412390 is 93214443861.

168344412390 is a `hidden beast` number, since 1 + 6 + 83 + 444 + 123 + 9 + 0 = 666.

168344412390 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 (45).

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, 283026 + ... + 645594.

It is an arithmetic number, because the mean of its divisors is an integer number (2884606920).

Almost surely, 2168344412390 is an apocalyptic number.

168344412390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 168344412390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276922264320).

168344412390 is an abundant number, since it is smaller than the sum of its proper divisors (385500116250).

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

168344412390 is a wasteful number, since it uses less digits than its factorization.

168344412390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362667 (or 362664 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 168344412390 in words is "one hundred sixty-eight billion, three hundred forty-four million, four hundred twelve thousand, three hundred ninety".