Search a number
-
+
69368042016 = 25327134216287
BaseRepresentation
bin100000010011010101…
…0000101001000100000
320122001101012122111100
41000212222011020200
52114031204321031
651511153514400
75004001425360
oct1004652051040
9218041178440
1069368042016
11274674a6749
121153b272a00
13670653c810
143500b109a0
151c0edcdde6
hex1026a85220

69368042016 has 288 divisors, whose sum is σ = 243403550208. Its totient is φ = 18248509440.

The previous prime is 69368042011. The next prime is 69368042033. The reversal of 69368042016 is 61024086396.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (69368042011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11030425 + ... + 11036711.

It is an arithmetic number, because the mean of its divisors is an integer number (845151216).

Almost surely, 269368042016 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 69368042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121701775104).

69368042016 is an abundant number, since it is smaller than the sum of its proper divisors (174035508192).

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

69368042016 is a wasteful number, since it uses less digits than its factorization.

69368042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6744 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 69368042016 in words is "sixty-nine billion, three hundred sixty-eight million, forty-two thousand, sixteen".