Search a number
-
+
168480113704144 = 2411957273373319
BaseRepresentation
bin100110010011101101010101…
…010101000011110011010000
3211002112112121210201122212121
4212103231111111003303100
5134040334233102013034
61354154410140104024
750326200164352634
oct4623552525036320
9732475553648777
10168480113704144
1149757018a11560
1216a906a9235014
1373017b678ca88
142d866a3c82dc4
15147284b1601b4
hex993b55543cd0

168480113704144 has 20 divisors (see below), whose sum is σ = 356105694875040. Its totient is φ = 76581869865440.

The previous prime is 168480113704127. The next prime is 168480113704153. The reversal of 168480113704144 is 441407311084861.

It is a super-2 number, since 2×1684801137041442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 168480113704091 and 168480113704100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 478636686484 + ... + 478636686835.

It is an arithmetic number, because the mean of its divisors is an integer number (17805284743752).

Almost surely, 2168480113704144 is an apocalyptic number.

It is an amenable number.

168480113704144 is an abundant number, since it is smaller than the sum of its proper divisors (187625581170896).

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

168480113704144 is a wasteful number, since it uses less digits than its factorization.

168480113704144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957273373338 (or 957273373332 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 168480113704144 in words is "one hundred sixty-eight trillion, four hundred eighty billion, one hundred thirteen million, seven hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 957273373319 1914546746638 3829093493276 7658186986552 10530007106509 15316373973104 21060014213018 42120028426036 84240056852072 168480113704144