Search a number
-
+
168319980000 = 25325423109373
BaseRepresentation
bin1001110011000010100…
…1110001000111100000
3121002110111201220221100
42130300221301013200
510224204403330000
6205154121154400
715106061136444
oct2346051610740
9532414656840
10168319980000
1165425271297
122875602ba00
1312b45b84b03
14820a8b2824
1545a20e1a00
hex2730a711e0

168319980000 has 720 divisors, whose sum is σ = 631553963040. Its totient is φ = 42425856000.

The previous prime is 168319979999. The next prime is 168319980079. The reversal of 168319980000 is 89913861.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 451259814 + ... + 451260186.

It is an arithmetic number, because the mean of its divisors is an integer number (877158282).

Almost surely, 2168319980000 is an apocalyptic number.

168319980000 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 168319980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315776981520).

168319980000 is an abundant number, since it is smaller than the sum of its proper divisors (463233983040).

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

168319980000 is a wasteful number, since it uses less digits than its factorization.

168319980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 168319980000 in words is "one hundred sixty-eight billion, three hundred nineteen million, nine hundred eighty thousand".