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12098813184 = 2834583469
BaseRepresentation
bin10110100010010010…
…10011110100000000
31011020012001101120000
423101021103310000
5144234244010214
65320315320000
7605551133553
oct132111236400
934205041500
1012098813184
115149512467
122417a50000
1311aa781073
1482abc069a
154ac28d809
hex2d1253d00

12098813184 has 90 divisors (see below), whose sum is σ = 36076533570. Its totient is φ = 4032930816.

The previous prime is 12098813183. The next prime is 12098813203. The reversal of 12098813184 is 48131889021.

It can be written as a sum of positive squares in only one way, i.e., 9729849600 + 2368963584 = 98640^2 + 48672^2 .

It is a super-2 number, since 2×120988131842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12098813183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 270999 + ... + 312470.

It is an arithmetic number, because the mean of its divisors is an integer number (400850373).

Almost surely, 212098813184 is an apocalyptic number.

It is an amenable number.

12098813184 is an abundant number, since it is smaller than the sum of its proper divisors (23977720386).

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

12098813184 is an frugal number, since it uses more digits than its factorization.

12098813184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583497 (or 583474 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 12098813184 in words is "twelve billion, ninety-eight million, eight hundred thirteen thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 583469 1166938 1750407 2333876 3500814 4667752 5251221 7001628 9335504 10502442 14003256 15753663 18671008 21004884 28006512 31507326 37342016 42009768 47260989 56013024 63014652 74684032 84019536 94521978 112026048 126029304 149368064 168039072 189043956 224052096 252058608 336078144 378087912 448104192 504117216 672156288 756175824 1008234432 1344312576 1512351648 2016468864 3024703296 4032937728 6049406592 12098813184