Search a number
-
+
54628635210 = 23517899411279
BaseRepresentation
bin110010111000000111…
…101101001001001010
312020000011102012110120
4302320013231021022
51343334412311320
641032425124110
73642514511022
oct627007551112
9166004365416
1054628635210
1121193493206
12a707029636
1351c79a4a26
142903362a82
15164ade2440
hexcb81ed24a

54628635210 has 128 divisors (see below), whose sum is σ = 140639846400. Its totient is φ = 13531668480.

The previous prime is 54628635203. The next prime is 54628635241. The reversal of 54628635210 is 1253682645.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42711351 + ... + 42712629.

It is an arithmetic number, because the mean of its divisors is an integer number (1098748800).

Almost surely, 254628635210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54628635210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70319923200).

54628635210 is an abundant number, since it is smaller than the sum of its proper divisors (86011211190).

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

54628635210 is a wasteful number, since it uses less digits than its factorization.

54628635210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336.

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 54628635210 in words is "fifty-four billion, six hundred twenty-eight million, six hundred thirty-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 89 102 170 178 255 267 445 510 534 890 941 1279 1335 1513 1882 2558 2670 2823 3026 3837 4539 4705 5646 6395 7565 7674 9078 9410 12790 14115 15130 15997 19185 21743 22695 28230 31994 38370 43486 45390 47991 65229 79985 83749 95982 108715 113831 130458 159970 167498 217430 227662 239955 251247 326145 341493 418745 479910 502494 569155 652290 682986 837490 1138310 1203539 1256235 1423733 1707465 1935127 2407078 2512470 2847466 3414930 3610617 3870254 4271199 5805381 6017695 7118665 7221234 8542398 9675635 11610762 12035390 14237330 18053085 19351270 20460163 21355995 29026905 36106170 40920326 42711990 58053810 61380489 102300815 107114971 122760978 204601630 214229942 306902445 321344913 535574855 613804890 642689826 1071149710 1606724565 1820954507 3213449130 3641909014 5462863521 9104772535 10925727042 18209545070 27314317605 54628635210