Search a number
-
+
150110204064 = 253191812272003
BaseRepresentation
bin1000101111001101000…
…0111111000010100000
3112100110102211110102120
42023303100333002200
54424411203012224
6152543142344240
713562604452622
oct2136320770240
9470412743376
10150110204064
115873032a097
122511372b080
1311203356672
1473a027ac12
153d885ec779
hex22f343f0a0

150110204064 has 192 divisors, whose sum is σ = 419116239360. Its totient is φ = 46910223360.

The previous prime is 150110204047. The next prime is 150110204077. The reversal of 150110204064 is 460402011051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 74941687 + ... + 74943689.

It is an arithmetic number, because the mean of its divisors is an integer number (2182897080).

Almost surely, 2150110204064 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 150110204064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209558119680).

150110204064 is an abundant number, since it is smaller than the sum of its proper divisors (269006035296).

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

150110204064 is a wasteful number, since it uses less digits than its factorization.

150110204064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 150110204064 in words is "one hundred fifty billion, one hundred ten million, two hundred four thousand, sixty-four".