Search a number
-
+
2188478109216 = 253713723771269
BaseRepresentation
bin11111110110001011011…
…101011101011000100000
321202012211210122211122210
4133312023131131120200
5241324000343443331
64353212321002120
7314053345666530
oct37661335353040
97665753584583
102188478109216
117741459259a3
122b4184a83340
1312b4ac7aab99
1477ccc64b4c0
153bdd9b73446
hex1fd8b75d620

2188478109216 has 96 divisors (see below), whose sum is σ = 6613357484160. Its totient is φ = 620715350016.

The previous prime is 2188478109203. The next prime is 2188478109217. The reversal of 2188478109216 is 6129018748812.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2188478109217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11793571 + ... + 11977698.

It is an arithmetic number, because the mean of its divisors is an integer number (68889140460).

Almost surely, 22188478109216 is an apocalyptic number.

It is an amenable number.

2188478109216 is an abundant number, since it is smaller than the sum of its proper divisors (4424879374944).

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

2188478109216 is a wasteful number, since it uses less digits than its factorization.

2188478109216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23771426 (or 23771418 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 57.

The spelling of 2188478109216 in words is "two trillion, one hundred eighty-eight billion, four hundred seventy-eight million, one hundred nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 822 959 1096 1644 1918 2192 2877 3288 3836 4384 5754 6576 7672 11508 13152 15344 23016 30688 46032 92064 23771269 47542538 71313807 95085076 142627614 166398883 190170152 285255228 332797766 380340304 499196649 570510456 665595532 760680608 998393298 1141020912 1331191064 1996786596 2282041824 2662382128 3256663853 3993573192 5324764256 6513327706 7987146384 9769991559 13026655412 15974292768 19539983118 22796646971 26053310824 39079966236 45593293942 52106621648 68389940913 78159932472 91186587884 104213243296 136779881826 156319864944 182373175768 273559763652 312639729888 364746351536 547119527304 729492703072 1094239054608 2188478109216