Search a number
-
+
104171450922 = 2337311253877
BaseRepresentation
bin110000100000100011…
…0100011001000101010
3100221212212222000011000
41201001012203020222
53201320342412142
6115504455415430
710345315503000
oct1410106431052
9327785860130
10104171450922
11401a7082a00
1218232984576
139a91b009b6
145083084a70
152a9a57a14c
hex18411a322a

104171450922 has 384 divisors, whose sum is σ = 302678208000. Its totient is φ = 26516730240.

The previous prime is 104171450899. The next prime is 104171450923. The reversal of 104171450922 is 229054171401.

104171450922 is a `hidden beast` number, since 10 + 4 + 171 + 450 + 9 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (104171450923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118781148 + ... + 118782024.

It is an arithmetic number, because the mean of its divisors is an integer number (788224500).

Almost surely, 2104171450922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104171450922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151339104000).

104171450922 is an abundant number, since it is smaller than the sum of its proper divisors (198506757078).

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

104171450922 is a wasteful number, since it uses less digits than its factorization.

104171450922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 104171450922 in words is "one hundred four billion, one hundred seventy-one million, four hundred fifty thousand, nine hundred twenty-two".