Search a number
-
+
17890071108 = 223721317314441
BaseRepresentation
bin10000101010010101…
…001101001001000100
31201011210022202221020
4100222111031021010
5243114324233413
612115114151140
71202222044500
oct205225151104
951153282836
1017890071108
11765052a238
1235734224b0
1318c15216c0
14c19db3300
156ea8e1c23
hex42a54d244

17890071108 has 288 divisors, whose sum is σ = 57169179648. Its totient is φ = 4296499200.

The previous prime is 17890071107. The next prime is 17890071113. The reversal of 17890071108 is 80117009871.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 17890071108.

It is not an unprimeable number, because it can be changed into a prime (17890071107) 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 95 ways as a sum of consecutive naturals, for example, 4026168 + ... + 4030608.

It is an arithmetic number, because the mean of its divisors is an integer number (198504096).

Almost surely, 217890071108 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 17890071108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28584589824).

17890071108 is an abundant number, since it is smaller than the sum of its proper divisors (39279108540).

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

17890071108 is a wasteful number, since it uses less digits than its factorization.

17890071108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 42.

The spelling of 17890071108 in words is "seventeen billion, eight hundred ninety million, seventy-one thousand, one hundred eight".