Search a number
-
+
2116645301620 = 225432173330853
BaseRepresentation
bin11110110011010001111…
…001000010110101110100
321111100102122120010102101
4132303101321002311310
5234134342144122440
64300212354351444
7305631305131513
oct36632171026564
97440378503371
102116645301620
11746734101403
122a227828b584
131247a27275c5
147463645c67a
153a0d36c869a
hex1ecd1e42d74

2116645301620 has 72 divisors (see below), whose sum is σ = 4577048793576. Its totient is φ = 822185747712.

The previous prime is 2116645301581. The next prime is 2116645301657. The reversal of 2116645301620 is 261035466112.

It can be written as a sum of positive squares in 4 ways, for example, as 154735236496 + 1961910065124 = 393364^2 + 1400682^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2116645301620.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6232114 + ... + 6562966.

It is an arithmetic number, because the mean of its divisors is an integer number (63570122133).

Almost surely, 22116645301620 is an apocalyptic number.

2116645301620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116645301620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288524396788).

2116645301620 is an abundant number, since it is smaller than the sum of its proper divisors (2460403491956).

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

2116645301620 is a wasteful number, since it uses less digits than its factorization.

2116645301620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331121 (or 331076 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 2116645301620 in words is "two trillion, one hundred sixteen billion, six hundred forty-five million, three hundred one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 173 215 346 430 692 860 865 1730 1849 3460 3698 7396 7439 9245 14878 18490 29756 36980 37195 74390 148780 319877 330853 639754 661706 1279508 1323412 1599385 1654265 3198770 3308530 6397540 6617060 14226679 28453358 56906716 57237569 71133395 114475138 142266790 228950276 284533580 286187845 572375690 611747197 1144751380 1223494394 2446988788 2461215467 3058735985 4922430934 6117471970 9844861868 12234943940 12306077335 24612154670 49224309340 105832265081 211664530162 423329060324 529161325405 1058322650810 2116645301620