Search a number
-
+
17004225040 = 24511111717299
BaseRepresentation
bin11111101011000011…
…11110001000010000
31121220001110010120121
433311201332020100
5234311040200130
611451151320024
71141244346055
oct176541761020
947801403517
1017004225040
117236494a50
123366820014
1317acb4252a
14b7449d02c
15697c5dd7a
hex3f587e210

17004225040 has 80 divisors (see below), whose sum is σ = 43170004800. Its totient is φ = 6177461760.

The previous prime is 17004224983. The next prime is 17004225041. The reversal of 17004225040 is 4052240071.

17004225040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 17004224996 and 17004225014.

It is not an unprimeable number, because it can be changed into a prime (17004225041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974311 + ... + 991609.

It is an arithmetic number, because the mean of its divisors is an integer number (539625060).

Almost surely, 217004225040 is an apocalyptic number.

17004225040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17004225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21585002400).

17004225040 is an abundant number, since it is smaller than the sum of its proper divisors (26165779760).

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

17004225040 is a wasteful number, since it uses less digits than its factorization.

17004225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18440 (or 18434 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The spelling of 17004225040 in words is "seventeen billion, four million, two hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1117 2234 4468 5585 8936 11170 12287 17299 17872 22340 24574 34598 44680 49148 61435 69196 86495 89360 98296 122870 138392 172990 190289 196592 245740 276784 345980 380578 491480 691960 761156 951445 982960 1383920 1522312 1902890 3044624 3805780 7611560 15223120 19322983 38645966 77291932 96614915 154583864 193229830 212552813 309167728 386459660 425105626 772919320 850211252 1062764065 1545838640 1700422504 2125528130 3400845008 4251056260 8502112520 17004225040