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106712444740 = 225111926122027
BaseRepresentation
bin110001101100010001…
…1101010111101000100
3101012102222021212101011
41203120203222331010
53222021341212430
6121004550012004
710465301546146
oct1433043527504
9335388255334
10106712444740
11412904361a0
1218821947004
13a0a8384135
145244726c96
152b986a222a
hex18d88eaf44

106712444740 has 144 divisors (see below), whose sum is σ = 262254089664. Its totient is φ = 36157881600.

The previous prime is 106712444687. The next prime is 106712444767. The reversal of 106712444740 is 47444217601.

It is a super-2 number, since 2×1067124447402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106712444693 and 106712444702.

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, 4833607 + ... + 4855633.

It is an arithmetic number, because the mean of its divisors is an integer number (1821208956).

Almost surely, 2106712444740 is an apocalyptic number.

106712444740 is a gapful number since it is divisible by the number (10) 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 106712444740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131127044832).

106712444740 is an abundant number, since it is smaller than the sum of its proper divisors (155541644924).

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

106712444740 is a wasteful number, since it uses less digits than its factorization.

106712444740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22146 (or 22125 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 106712444740 in words is "one hundred six billion, seven hundred twelve million, four hundred forty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 61 76 95 110 122 190 209 220 244 305 361 380 418 610 671 722 836 1045 1159 1220 1342 1444 1805 2090 2318 2684 3355 3610 3971 4180 4636 5795 6710 7220 7942 11590 12749 13420 15884 19855 22021 22027 23180 25498 39710 44042 44054 50996 63745 79420 88084 88108 110105 110135 127490 220210 220270 242231 242297 254980 418513 440420 440540 484462 484594 837026 968924 969188 1211155 1211485 1343647 1674052 2092565 2422310 2422970 2687294 4185130 4603643 4844620 4845940 5374588 6718235 7951747 8370260 9207286 13436470 14780117 15903494 18414572 23018215 25529293 26872940 29560234 31806988 39758735 46036430 51058586 59120468 73900585 79517470 87469217 92072860 102117172 127646465 147801170 159034940 174938434 255292930 280822223 295602340 349876868 437346085 485056567 510585860 561644446 874692170 970113134 1123288892 1404111115 1749384340 1940226268 2425282835 2808222230 4850565670 5335622237 5616444460 9701131340 10671244474 21342488948 26678111185 53356222370 106712444740