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2164800198276 = 223241259812
BaseRepresentation
bin11111100000001000001…
…001011001011010000100
321122221201122111100002100
4133200020021121122010
5240432002322321101
64334255005112100
7312254524035312
oct37401011313204
97587648440070
102164800198276
117650a5303a61
122ab677258630
131291a81448b1
1476ac3ad50b2
153b4a10a5e86
hex1f808259684

2164800198276 has 81 divisors (see below), whose sum is σ = 5609793733999. Its totient is φ = 703882358400.

The previous prime is 2164800198263. The next prime is 2164800198311. The reversal of 2164800198276 is 6728910084612.

It is a happy number.

The square root of 2164800198276 is 1471326.

It is a perfect power (a square), and thus also a powerful number.

2164800198276 is a `hidden beast` number, since 2 + 1 + 6 + 480 + 0 + 1 + 98 + 2 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1857839876676 + 306960321600 = 1363026^2 + 554040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 361943206 + ... + 361949186.

Almost surely, 22164800198276 is an apocalyptic number.

2164800198276 is the 1471326-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164800198276

2164800198276 is an abundant number, since it is smaller than the sum of its proper divisors (3444993535723).

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

2164800198276 is an frugal number, since it uses more digits than its factorization.

2164800198276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12054 (or 6027 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2164800198276 in words is "two trillion, one hundred sixty-four billion, eight hundred million, one hundred ninety-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 3362 5043 5981 6724 10086 11962 15129 17943 20172 23924 30258 35886 53829 60516 71772 107658 215316 245221 490442 735663 980884 1471326 2206989 2942652 4413978 8827956 10054061 20108122 30162183 35772361 40216244 60324366 71544722 90486549 107317083 120648732 143089444 180973098 214634166 321951249 361946196 429268332 643902498 1287804996 1466666801 2933333602 4400000403 5866667204 8800000806 13200001209 17600001612 26400002418 52800004836 60133338841 120266677682 180400016523 240533355364 360800033046 541200049569 721600066092 1082400099138 2164800198276