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168180030360 = 233254153214987
BaseRepresentation
bin1001110010100001001…
…1111001101110011000
3121002002202101202010100
42130220103321232120
510223413041432420
6205132201415400
715102441446136
oct2345023715630
9532082352110
10168180030360
1165363274031
122871719a560
1312b22b94684
1481d6082756
154594b9a190
hex27284f9b98

168180030360 has 192 divisors, whose sum is σ = 570483557280. Its totient is φ = 42928404480.

The previous prime is 168180030323. The next prime is 168180030467. The reversal of 168180030360 is 63030081861.

168180030360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1681800303602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 674787 + ... + 889773.

Almost surely, 2168180030360 is an apocalyptic number.

168180030360 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 168180030360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285241778640).

168180030360 is an abundant number, since it is smaller than the sum of its proper divisors (402303526920).

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

168180030360 is a wasteful number, since it uses less digits than its factorization.

168180030360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215098 (or 215091 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 168180030360 in words is "one hundred sixty-eight billion, one hundred eighty million, thirty thousand, three hundred sixty".