Search a number
-
+
2828961272620 = 2257167263460073
BaseRepresentation
bin101001001010101011001…
…110110101001100101100
3101000110001011201200020101
4221022223032311030230
5332322203041210440
610003335030000444
7411246204030160
oct51125316651454
911013034650211
102828961272620
119a083498432a
123983314a6124
13176a01629442
149accb310ca0
154d8c3b1769a
hex292ab3b532c

2828961272620 has 96 divisors (see below), whose sum is σ = 6856147888128. Its totient is φ = 960453668352.

The previous prime is 2828961272617. The next prime is 2828961272633. The reversal of 2828961272620 is 262721698282.

2828961272620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5918904 + ... + 6378976.

It is an arithmetic number, because the mean of its divisors is an integer number (71418207168).

Almost surely, 22828961272620 is an apocalyptic number.

2828961272620 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 2828961272620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428073944064).

2828961272620 is an abundant number, since it is smaller than the sum of its proper divisors (4027186615508).

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

2828961272620 is a wasteful number, since it uses less digits than its factorization.

2828961272620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460519 (or 460517 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 2828961272620 in words is "two trillion, eight hundred twenty-eight billion, nine hundred sixty-one million, two hundred seventy-two thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 263 334 526 668 835 1052 1169 1315 1670 1841 2338 2630 3340 3682 4676 5260 5845 7364 9205 11690 18410 23380 36820 43921 87842 175684 219605 307447 439210 460073 614894 878420 920146 1229788 1537235 1840292 2300365 3074470 3220511 4600730 6148940 6441022 9201460 12882044 16102555 32205110 64410220 76832191 120999199 153664382 241998398 307328764 384160955 483996796 537825337 604995995 768321910 846994393 1075650674 1209991990 1536643820 1693988786 2151301348 2419983980 2689126685 3387977572 4234971965 5378253370 8469943930 10756506740 16939887860 20206866233 40413732466 80827464932 101034331165 141448063631 202068662330 282896127262 404137324660 565792254524 707240318155 1414480636310 2828961272620