Search a number
-
+
12428749550 = 2527237167821
BaseRepresentation
bin10111001001100111…
…11010101011101110
31012002011212220011102
423210303322223232
5200423224441200
65413143123102
7616665425300
oct134463725356
935064786142
1012428749550
1152a8783548
1224aa443492
131230c30b99
1485c947970
154cb2126d5
hex2e4cfaaee

12428749550 has 144 divisors (see below), whose sum is σ = 27817782048. Its totient is φ = 4116268800.

The previous prime is 12428749549. The next prime is 12428749561. The reversal of 12428749550 is 5594782421.

It is a junction number, because it is equal to n+sod(n) for n = 12428749495 and 12428749504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15138140 + ... + 15138960.

It is an arithmetic number, because the mean of its divisors is an integer number (193179042).

Almost surely, 212428749550 is an apocalyptic number.

12428749550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12428749550 is an abundant number, since it is smaller than the sum of its proper divisors (15389032498).

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

12428749550 is a wasteful number, since it uses less digits than its factorization.

12428749550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 12428749550 in words is "twelve billion, four hundred twenty-eight million, seven hundred forty-nine thousand, five hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 37 49 50 70 74 98 167 175 185 245 259 334 350 370 490 518 821 835 925 1169 1225 1295 1642 1670 1813 1850 2338 2450 2590 3626 4105 4175 5747 5845 6179 6475 8183 8210 8350 9065 11494 11690 12358 12950 16366 18130 20525 28735 29225 30377 30895 40229 40915 41050 43253 45325 57470 58450 60754 61790 80458 81830 86506 90650 137107 143675 151885 154475 201145 204575 212639 216265 274214 287350 302771 303770 308950 402290 409150 425278 432530 605542 685535 759425 959749 1005725 1063195 1081325 1371070 1488473 1513855 1518850 1919498 2011450 2126390 2162650 2976946 3027710 3427675 4798745 5072959 5315975 6718243 6855350 7442365 7569275 9597490 10145918 10631950 13436486 14884730 15138550 23993725 25364795 33591215 35510713 37211825 47987450 50729590 67182430 71021426 74423650 126823975 167956075 177553565 248574991 253647950 335912150 355107130 497149982 887767825 1242874955 1775535650 2485749910 6214374775 12428749550