Search a number
-
+
150209891424 = 2534833831823
BaseRepresentation
bin1000101111100100110…
…1010000110001100000
3112100201101102002210000
42023321031100301200
54430112213011144
6153001103140000
713565225003415
oct2137115206140
9470641362700
10150209891424
115878162773a
1225140ba4600
131121abbaa78
1473ad5ca10c
153d9223e769
hex22f9350c60

150209891424 has 240 divisors, whose sum is σ = 448498778112. Its totient is φ = 49310491392.

The previous prime is 150209891407. The next prime is 150209891437. The reversal of 150209891424 is 424198902051.

It is a happy number.

150209891424 is a `hidden beast` number, since 1 + 50 + 2 + 0 + 98 + 91 + 424 = 666.

It is a super-2 number, since 2×1502098914242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150209891424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82396177 + ... + 82397999.

Almost surely, 2150209891424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150209891424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224249389056).

150209891424 is an abundant number, since it is smaller than the sum of its proper divisors (298288886688).

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

150209891424 is a wasteful number, since it uses less digits than its factorization.

150209891424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 150209891424 in words is "one hundred fifty billion, two hundred nine million, eight hundred ninety-one thousand, four hundred twenty-four".