Search a number
-
+
84171702006 = 23274344335069
BaseRepresentation
bin100111001100100000…
…1100011111011110110
322001021001220111022200
41032121001203323312
52334340423431011
6102400135405330
76036565443060
oct1163101437366
9261231814280
1084171702006
1132773805597
1214390b23846
137c254b3442
144106c26730
1522c985d856
hex1399063ef6

84171702006 has 96 divisors (see below), whose sum is σ = 213759786240. Its totient is φ = 23436084672.

The previous prime is 84171701993. The next prime is 84171702053. The reversal of 84171702006 is 60020717148.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2382640 + ... + 2417708.

It is an arithmetic number, because the mean of its divisors is an integer number (2226664440).

Almost surely, 284171702006 is an apocalyptic number.

84171702006 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 84171702006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106879893120).

84171702006 is an abundant number, since it is smaller than the sum of its proper divisors (129588084234).

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

84171702006 is a wasteful number, since it uses less digits than its factorization.

84171702006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35570 (or 35567 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 84171702006 in words is "eighty-four billion, one hundred seventy-one million, seven hundred two thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 443 602 774 886 903 1329 1806 2658 2709 3101 3987 5418 6202 7974 9303 18606 19049 27909 35069 38098 55818 57147 70138 105207 114294 133343 171441 210414 245483 266686 315621 342882 400029 490966 631242 736449 800058 1200087 1472898 1507967 2209347 2400174 3015934 4418694 4523901 9047802 10555769 13571703 15535567 21111538 27143406 31071134 31667307 46606701 63334614 93213402 95001921 108748969 139820103 190003842 217497938 279640206 326246907 652493814 668029381 978740721 1336058762 1957481442 2004088143 4008176286 4676205667 6012264429 9352411334 12024528858 14028617001 28057234002 42085851003 84171702006