Search a number
-
+
10008710178138 = 2327194847386249
BaseRepresentation
bin1001000110100101010110…
…0111010110010101011010
31022102211020012222010222200
42101221111213112111122
52302440314301200023
633141534334231030
72052051111546540
oct221512547262532
938384205863880
1010008710178138
113209740a72851
121157908955476
13577a81862699
142685d1c5dd90
15125539971743
hex91a559d655a

10008710178138 has 96 divisors (see below), whose sum is σ = 26088706800000. Its totient is φ = 2709037260288.

The previous prime is 10008710178127. The next prime is 10008710178143. The reversal of 10008710178138 is 83187101780001.

10008710178138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10008710178093 and 10008710178102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116001238 + ... + 116087486.

It is an arithmetic number, because the mean of its divisors is an integer number (271757362500).

Almost surely, 210008710178138 is an apocalyptic number.

10008710178138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10008710178138 is an abundant number, since it is smaller than the sum of its proper divisors (16079996621862).

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

10008710178138 is a wasteful number, since it uses less digits than its factorization.

10008710178138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134756 (or 134753 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 45.

The spelling of 10008710178138 in words is "ten trillion, eight billion, seven hundred ten million, one hundred seventy-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 48473 86249 96946 145419 172498 258747 290838 339311 436257 517494 603743 678622 776241 872514 920987 1017933 1207486 1552482 1638731 1811229 1841974 2035866 2762961 3053799 3277462 3622458 4916193 5433687 5525922 6107598 6446909 8288883 9832386 10867374 11471117 12893818 14748579 16577766 19340727 22942234 29497158 34413351 38681454 58022181 68826702 103240053 116044362 206480106 4180747777 8361495554 12542243331 25084486662 29265234439 37626729993 58530468878 75253459986 79434207763 87795703317 158868415526 175591406634 238302623289 263387109951 476605246578 526774219902 556039454341 714907869867 1112078908682 1429815739734 1668118363023 3336236726046 5004355089069 10008710178138