Search a number
-
+
168304200960 = 28357191572099
BaseRepresentation
bin1001110010111110110…
…1100100110100000000
3121002102102001021011110
42130233231210310000
510224141333412320
6205152355043320
715105510050430
oct2345755446400
9532372037143
10168304200960
1165417374265
12287508a0540
1312b4281b9bc
1482087662c0
1545a0a265e0
hex272fb64d00

168304200960 has 576 divisors, whose sum is σ = 651071232000. Its totient is φ = 36195434496.

The previous prime is 168304200949. The next prime is 168304200991. The reversal of 168304200960 is 69002403861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80181991 + ... + 80184089.

It is an arithmetic number, because the mean of its divisors is an integer number (1130332000).

Almost surely, 2168304200960 is an apocalyptic number.

168304200960 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 168304200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325535616000).

168304200960 is an abundant number, since it is smaller than the sum of its proper divisors (482767031040).

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

168304200960 is a wasteful number, since it uses less digits than its factorization.

168304200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 168304200960 in words is "one hundred sixty-eight billion, three hundred four million, two hundred thousand, nine hundred sixty".