Search a number
-
+
5417905965360 = 243573224944027
BaseRepresentation
bin100111011010111010001…
…0111000100100100110000
3201011221120011220210011020
41032311310113010210300
51202231332411342420
615304541315415440
71066300521566610
oct116656427044460
921157504823136
105417905965360
1117a97a2744739
127360398b4580
13303ba22ca685
1414a329a98a40
1595deb0eb340
hex4ed745c4930

5417905965360 has 80 divisors (see below), whose sum is σ = 19194866854656. Its totient is φ = 1238378505984.

The previous prime is 5417905965341. The next prime is 5417905965389. The reversal of 5417905965360 is 635695097145.

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

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5417905965294 and 5417905965303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1612470334 + ... + 1612473693.

Almost surely, 25417905965360 is an apocalyptic number.

It is an amenable number.

5417905965360 is an abundant number, since it is smaller than the sum of its proper divisors (13776960889296).

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

5417905965360 is a wasteful number, since it uses less digits than its factorization.

5417905965360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224944050 (or 3224944044 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 60.

The spelling of 5417905965360 in words is "five trillion, four hundred seventeen billion, nine hundred five million, nine hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3224944027 6449888054 9674832081 12899776108 16124720135 19349664162 22574608189 25799552216 32249440270 38699328324 45149216378 48374160405 51599104432 64498880540 67723824567 77398656648 90298432756 96748320810 112873040945 128997761080 135447649134 154797313296 180596865512 193496641620 225746081890 257995522160 270895298268 338619122835 361193731024 386993283240 451492163780 541790596536 677238245670 773986566480 902984327560 1083581193072 1354476491340 1805968655120 2708952982680 5417905965360