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10509090984 = 23357772273
BaseRepresentation
bin10011100100110010…
…00000000010101000
31000010101201010200000
421302121000002220
5133010311402414
64454450143000
7521265541140
oct116231000250
930111633600
1010509090984
114503120667
122053581a60
13cb6306442
14719a03920
1541791eb09
hex2726400a8

10509090984 has 96 divisors (see below), whose sum is σ = 33732928320. Its totient is φ = 3002593536.

The previous prime is 10509090973. The next prime is 10509090997. The reversal of 10509090984 is 48909090501.

It is a super-2 number, since 2×105090909842 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372529 + ... + 399744.

It is an arithmetic number, because the mean of its divisors is an integer number (351384670).

Almost surely, 210509090984 is an apocalyptic number.

10509090984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10509090984 is an abundant number, since it is smaller than the sum of its proper divisors (23223837336).

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

10509090984 is an equidigital number, since it uses as much as digits as its factorization.

10509090984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772301 (or 772285 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 10509090984 in words is "ten billion, five hundred nine million, ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 13608 772273 1544546 2316819 3089092 4633638 5405911 6178184 6950457 9267276 10811822 13900914 16217733 18534552 20851371 21623644 27801828 32435466 41702742 43247288 48653199 55603656 62554113 64870932 83405484 97306398 125108226 129741864 145959597 166810968 187662339 194612796 250216452 291919194 375324678 389225592 437878791 500432904 583838388 750649356 875757582 1167676776 1313636373 1501298712 1751515164 2627272746 3503030328 5254545492 10509090984