Search a number
-
+
2648051101290 = 235723271550717
BaseRepresentation
bin100110100010001100001…
…001010010111001101010
3100101011002020022202122110
4212202030021102321222
5321341202040220130
65344255313103150
7362213113656300
oct46421411227152
910334066282573
102648051101290
119310398a2a41
12369262b57ab6
1316293026999a
14922486ac270
1548d36573ab0
hex2688c252e6a

2648051101290 has 96 divisors (see below), whose sum is σ = 7395199910784. Its totient is φ = 605082683520.

The previous prime is 2648051101259. The next prime is 2648051101291. The reversal of 2648051101290 is 921011508462.

It is not an unprimeable number, because it can be changed into a prime (2648051101291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4533012 + ... + 5083728.

It is an arithmetic number, because the mean of its divisors is an integer number (77033332404).

Almost surely, 22648051101290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2648051101290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697599955392).

2648051101290 is an abundant number, since it is smaller than the sum of its proper divisors (4747148809494).

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

2648051101290 is a wasteful number, since it uses less digits than its factorization.

2648051101290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554012 (or 554005 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 2648051101290 in words is "two trillion, six hundred forty-eight billion, fifty-one million, one hundred one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 3271 6542 9813 16355 19626 22897 32710 45794 49065 68691 98130 114485 137382 160279 228970 320558 343455 480837 550717 686910 801395 961674 1101434 1602790 1652151 2404185 2753585 3304302 3855019 4808370 5507170 7710038 8260755 11565057 16521510 19275095 23130114 26985133 38550190 53970266 57825285 80955399 115650570 134925665 161910798 269851330 404776995 809553990 1801395307 3602790614 5404185921 9006976535 10808371842 12609767149 18013953070 25219534298 27020929605 37829301447 54041859210 63048835745 75658602894 88268370043 126097671490 176536740086 189146507235 264805110129 378293014470 441341850215 529610220258 882683700430 1324025550645 2648051101290