Search a number
-
+
5329158912 = 2833711171931
BaseRepresentation
bin1001111011010010…
…01000001100000000
3111202101202022201000
410331221020030000
541403231041122
62240450212000
7246030050310
oct47551101400
914671668630
105329158912
112295197a70
121048884000
1366c0c888c
14387aa5440
15212cc50ac
hex13da48300

5329158912 has 1152 divisors, whose sum is σ = 22605004800. Its totient is φ = 1194393600.

The previous prime is 5329158841. The next prime is 5329158941. The reversal of 5329158912 is 2198519235.

5329158912 is a `hidden beast` number, since 53 + 2 + 9 + 1 + 589 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

Its product of digits (194400) is a multiple of the sum of its prime divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171908337 + ... + 171908367.

It is an arithmetic number, because the mean of its divisors is an integer number (19622400).

Almost surely, 25329158912 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 5329158912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11302502400).

5329158912 is an abundant number, since it is smaller than the sum of its proper divisors (17275845888).

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

5329158912 is a wasteful number, since it uses less digits than its factorization.

5329158912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 5329158912 is about 73001.0884302419. The cubic root of 5329158912 is about 1746.7049738764.

The spelling of 5329158912 in words is "five billion, three hundred twenty-nine million, one hundred fifty-eight thousand, nine hundred twelve".