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218017804086120 = 23356033130114121
BaseRepresentation
bin110001100100100100111001…
…110001000110101101101000
31001120221022001121202222222010
4301210210321301012231220
5212034000430321223440
62051403555125555520
763631160266145103
oct6144447161065550
91046838047688863
10218017804086120
116351591676aa65
1220551389575ba0
139485cb578564c
143bba191bc173a
151a31224002580
hexc64939c46b68

218017804086120 has 64 divisors (see below), whose sum is σ = 654064275061440. Its totient is φ = 58137115507200.

The previous prime is 218017804086097. The next prime is 218017804086149. The reversal of 218017804086120 is 21680408710812.

It is a self number, because there is not a number n which added to its sum of digits gives 218017804086120.

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, 7817341 + ... + 22296780.

It is an arithmetic number, because the mean of its divisors is an integer number (10219754297835).

Almost surely, 2218017804086120 is an apocalyptic number.

218017804086120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218017804086120 is an abundant number, since it is smaller than the sum of its proper divisors (436046470975320).

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

218017804086120 is a wasteful number, since it uses less digits than its factorization.

218017804086120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30174466 (or 30174462 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The spelling of 218017804086120 in words is "two hundred eighteen trillion, seventeen billion, eight hundred four million, eighty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 60331 120662 180993 241324 301655 361986 482648 603310 723972 904965 1206620 1447944 1809930 2413240 3619860 7239720 30114121 60228242 90342363 120456484 150570605 180684726 240912968 301141210 361369452 451711815 602282420 722738904 903423630 1204564840 1806847260 3613694520 1816815034051 3633630068102 5450445102153 7267260136204 9084075170255 10900890204306 14534520272408 18168150340510 21801780408612 27252225510765 36336300681020 43603560817224 54504451021530 72672601362040 109008902043060 218017804086120