Search a number
-
+
213196802784 = 25372313793789
BaseRepresentation
bin1100011010001110000…
…1010000101011100000
3202101022001101201121220
43012203201100223200
511443111340142114
6241535151215040
721255133631460
oct3064341205340
9671261351556
10213196802784
1182464045489
123539b217480
13171483c8b14
14a466a39ba0
15582bced0a9
hex31a3850ae0

213196802784 has 96 divisors (see below), whose sum is σ = 667398735360. Its totient is φ = 58264960512.

The previous prime is 213196802771. The next prime is 213196802803. The reversal of 213196802784 is 487208691312.

It is a happy number.

213196802784 is digitally balanced in base 3, 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 (96).

It is a congruent number.

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, 6881439 + ... + 6912350.

It is an arithmetic number, because the mean of its divisors is an integer number (6952070160).

Almost surely, 2213196802784 is an apocalyptic number.

213196802784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213196802784 is an abundant number, since it is smaller than the sum of its proper divisors (454201932576).

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

213196802784 is a wasteful number, since it uses less digits than its factorization.

213196802784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13793832 (or 13793824 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 213196802784 in words is "two hundred thirteen billion, one hundred ninety-six million, eight hundred two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 13793789 27587578 41381367 55175156 82762734 96556523 110350312 165525468 193113046 220700624 289669569 317257147 331050936 386226092 441401248 579339138 634514294 662101872 772452184 951771441 1158678276 1269028588 1324203744 1544904368 1903542882 2220800029 2317356552 2538057176 3089808736 3807085764 4441600058 4634713104 5076114352 6662400087 7614171528 8883200116 9269426208 10152228704 13324800174 15228343056 17766400232 26649600348 30456686112 35532800464 53299200696 71065600928 106598401392 213196802784