Search a number
-
+
150226537248 = 25342323312
BaseRepresentation
bin1000101111101000110…
…0110000101100100000
3112100202112201210120000
42023322030300230200
54430130443142443
6153002500020000
713565516332464
oct2137214605440
9470675653500
10150226537248
115878aa66a17
1225146691600
1311221498578
1473b18c04a4
153d9392b8d3
hex22fa330b20

150226537248 has 270 divisors, whose sum is σ = 463256029467. Its totient is φ = 47753608320.

The previous prime is 150226537217. The next prime is 150226537249. The reversal of 150226537248 is 842735622051.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

150226537248 is a `hidden beast` number, since 1 + 50 + 2 + 26 + 537 + 2 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75113268624 + 75113268624 = 274068^2 + 274068^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=274068.

It is not an unprimeable number, because it can be changed into a prime (150226537249) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 453856443 + ... + 453856773.

Almost surely, 2150226537248 is an apocalyptic number.

150226537248 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 150226537248

150226537248 is an abundant number, since it is smaller than the sum of its proper divisors (313029492219).

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

150226537248 is an frugal number, since it uses more digits than its factorization.

150226537248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 150226537248 in words is "one hundred fifty billion, two hundred twenty-six million, five hundred thirty-seven thousand, two hundred forty-eight".