Search a number
-
+
5536788480 = 212335171931
BaseRepresentation
bin1010010100000010…
…01011000000000000
3112021212102222221000
411022001023000000
542314404212410
62313224332000
7254130632316
oct51201130000
915255388830
105536788480
112391411153
1210a6314000
136a3124802
143a74b20b6
15226139dc0
hex14a04b000

5536788480 has 832 divisors, whose sum is σ = 22646476800. Its totient is φ = 1274019840.

The previous prime is 5536788437. The next prime is 5536788503. The reversal of 5536788480 is 848876355.

5536788480 is a `hidden beast` number, since 55 + 36 + 7 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178606065 + ... + 178606095.

Almost surely, 25536788480 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 5536788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11323238400).

5536788480 is an abundant number, since it is smaller than the sum of its proper divisors (17109688320).

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

5536788480 is a wasteful number, since it uses less digits than its factorization.

5536788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 5536788480 is about 74409.5993807251. The cubic root of 5536788480 is about 1769.1010660847.

The spelling of 5536788480 in words is "five billion, five hundred thirty-six million, seven hundred eighty-eight thousand, four hundred eighty".