Search a number
-
+
150704291808 = 253272193118131
BaseRepresentation
bin1000110001011010101…
…1001111111111100000
3112101222211201020121100
42030112223033333200
54432120244314213
6153122123554400
713613410226100
oct2142653177740
9471884636540
10150704291808
1158a05709aa4
122525a68ba00
1311299462185
147419125200
153dc084d773
hex2316acffe0

150704291808 has 432 divisors, whose sum is σ = 541731939840. Its totient is φ = 39474086400.

The previous prime is 150704291783. The next prime is 150704291869. The reversal of 150704291808 is 808192407051.

150704291808 is a `hidden beast` number, since 150 + 70 + 429 + 1 + 8 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8302903 + ... + 8321033.

It is an arithmetic number, because the mean of its divisors is an integer number (1254009120).

Almost surely, 2150704291808 is an apocalyptic number.

150704291808 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 150704291808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270865969920).

150704291808 is an abundant number, since it is smaller than the sum of its proper divisors (391027648032).

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

150704291808 is a wasteful number, since it uses less digits than its factorization.

150704291808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18211 (or 18193 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

Adding to 150704291808 its reverse (808192407051), we get a palindrome (958896698859).

The spelling of 150704291808 in words is "one hundred fifty billion, seven hundred four million, two hundred ninety-one thousand, eight hundred eight".