Search a number
-
+
150321927168 = 21033721761107
BaseRepresentation
bin1000101111111111100…
…0101001010000000000
3112101000012020002221000
42023333320221100000
54430324403132133
6153020144332000
713601055204300
oct2137770512000
9471005202830
10150321927168
1158829899866
1225172614000
13112381868ca
1473c0431600
153d9bec0413
hex22ffe29400

150321927168 has 1056 divisors, whose sum is σ = 562523460480. Its totient is φ = 39388446720.

The previous prime is 150321927167. The next prime is 150321927179. The reversal of 150321927168 is 861729123051.

150321927168 is a `hidden beast` number, since 1 + 50 + 321 + 9 + 271 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150321927167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1404877771 + ... + 1404877877.

Almost surely, 2150321927168 is an apocalyptic number.

150321927168 is a gapful number since it is divisible by the number (18) 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 150321927168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281261730240).

150321927168 is an abundant number, since it is smaller than the sum of its proper divisors (412201533312).

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

150321927168 is a wasteful number, since it uses less digits than its factorization.

150321927168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 150321927168 in words is "one hundred fifty billion, three hundred twenty-one million, nine hundred twenty-seven thousand, one hundred sixty-eight".