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12632508987490 = 25717106917875557
BaseRepresentation
bin1011011111010011110000…
…1101011111100001100010
31122201122201021022211110101
42313310330031133201202
53123432334300044430
642511143340453014
72442445230466510
oct267647415374142
948648637284411
1012632508987490
114030464aa3907
12150032184a16a
1370831846a362
143195b95bb4b0
1516d901cbadca
hexb7d3c35f862

12632508987490 has 128 divisors (see below), whose sum is σ = 27561625781760. Its totient is φ = 4069547937792.

The previous prime is 12632508987431. The next prime is 12632508987491. The reversal of 12632508987490 is 9478980523621.

It is not an unprimeable number, because it can be changed into a prime (12632508987491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2273257792 + ... + 2273263348.

It is an arithmetic number, because the mean of its divisors is an integer number (215325201420).

It is a 1-persistent number, because it is pandigital, but 2⋅12632508987490 = 25265017974980 is not.

Almost surely, 212632508987490 is an apocalyptic number.

12632508987490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12632508987490 is an abundant number, since it is smaller than the sum of its proper divisors (14929116794270).

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

12632508987490 is a wasteful number, since it uses less digits than its factorization.

12632508987490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444.

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 12632508987490 in words is "twelve trillion, six hundred thirty-two billion, five hundred eight million, nine hundred eighty-seven thousand, four hundred ninety".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1069 1190 1787 2138 3574 5345 5557 7483 8935 10690 11114 12509 14966 17870 18173 25018 27785 30379 36346 37415 38899 55570 60758 62545 74830 77798 90865 94469 125090 127211 151895 181730 188938 194495 212653 254422 303790 388990 425306 472345 636055 661283 944690 1063265 1272110 1322566 1910303 2126530 3306415 3820606 5940433 6612830 9551515 9930359 11880866 13372121 19103030 19860718 26744242 29702165 32475151 41583031 49651795 59404330 64950302 66860605 69512513 83166062 99303590 100987361 133721210 139025026 162375755 168816103 201974722 207915155 227326057 324751510 337632206 347562565 415830310 454652114 504936805 695125130 706911527 844080515 1009873610 1136630285 1181712721 1413823054 1688161030 2273260570 2363425442 3534557635 5908563605 7069115270 10615553771 11817127210 21231107542 53077768855 74308876397 106155537710 148617752794 180464414107 360928828214 371544381985 743088763970 902322070535 1263250898749 1804644141070 2526501797498 6316254493745 12632508987490