Search a number
-
+
113558039424 = 2734171016379
BaseRepresentation
bin110100111000010010…
…1100010101110000000
3101212010001111002220000
41221300211202232000
53330031324230144
6124100130520000
711130034260144
oct1516045425600
9355101432800
10113558039424
1144183609865
121a012436000
13a9296a7c8b
1456d396d224
152e4966b769
hex1a70962b80

113558039424 has 320 divisors, whose sum is σ = 361425596400. Its totient is φ = 35267788800.

The previous prime is 113558039377. The next prime is 113558039429. The reversal of 113558039424 is 424930855311.

113558039424 is a `hidden beast` number, since 1 + 1 + 3 + 558 + 0 + 3 + 94 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 113558039424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113558039429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17798667 + ... + 17805045.

Almost surely, 2113558039424 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 113558039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180712798200).

113558039424 is an abundant number, since it is smaller than the sum of its proper divisors (247867556976).

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

113558039424 is a wasteful number, since it uses less digits than its factorization.

113558039424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 113558039424 in words is "one hundred thirteen billion, five hundred fifty-eight million, thirty-nine thousand, four hundred twenty-four".