Search a number
-
+
7108069495968 = 25337103109104683
BaseRepresentation
bin110011101101111100111…
…1101010001010010100000
3221011112011120210012002000
41213123321331101102200
51412424311242332333
623041222501524000
71332353405553060
oct147337175212240
927145146705060
107108069495968
1122a0573a18181
12969712113600
133c7398ba144c
141a8064c913a0
15c4d6d0b0713
hex676f9f514a0

7108069495968 has 384 divisors, whose sum is σ = 24143312793600. Its totient is φ = 1992689703936.

The previous prime is 7108069495963. The next prime is 7108069496027. The reversal of 7108069495968 is 8695949608017.

7108069495968 is a `hidden beast` number, since 7 + 10 + 8 + 0 + 69 + 495 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7108069495896 and 7108069495905.

It is not an unprimeable number, because it can be changed into a prime (7108069495963) 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 63 ways as a sum of consecutive naturals, for example, 67848555 + ... + 67953237.

It is an arithmetic number, because the mean of its divisors is an integer number (62873210400).

Almost surely, 27108069495968 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 7108069495968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12071656396800).

7108069495968 is an abundant number, since it is smaller than the sum of its proper divisors (17035243297632).

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

7108069495968 is a wasteful number, since it uses less digits than its factorization.

7108069495968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104921 (or 104907 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 7108069495968 in words is "seven trillion, one hundred eight billion, sixty-nine million, four hundred ninety-five thousand, nine hundred sixty-eight".