Search a number
-
+
15000133500 = 22335311831217
BaseRepresentation
bin11011111100001001…
…11101111101111100
31102201101101201211000
431332010331331330
5221210013233000
610520240530300
71040501013432
oct157604757574
942641351730
1015000133500
1163a8203350
122aa7620990
131550894a51
14a2425ad52
155cbd3e000
hex37e13df7c

15000133500 has 384 divisors, whose sum is σ = 53627857920. Its totient is φ = 3589632000.

The previous prime is 15000133469. The next prime is 15000133501. The reversal of 15000133500 is 533100051.

It is a happy number.

15000133500 is a `hidden beast` number, since 150 + 0 + 0 + 13 + 3 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15000133501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12324892 + ... + 12326108.

It is an arithmetic number, because the mean of its divisors is an integer number (139655880).

Almost surely, 215000133500 is an apocalyptic number.

15000133500 is a gapful number since it is divisible by the number (10) 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 15000133500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26813928960).

15000133500 is an abundant number, since it is smaller than the sum of its proper divisors (38627724420).

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

15000133500 is a wasteful number, since it uses less digits than its factorization.

15000133500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 15000133500 its reverse (533100051), we get a palindrome (15533233551).

The spelling of 15000133500 in words is "fifteen billion, one hundred thirty-three thousand, five hundred".