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12011334434432 = 27831796316117
BaseRepresentation
bin1010111011001001101101…
…0100100111111010000000
31120112021100112211000211022
42232302123110213322000
53033243203103400212
641313533022205012
72346535031062604
oct256623324477200
946467315730738
1012011334434432
113910a84176193
12141ba63723768
136918829b0518
142d74cd067504
1515c698021772
hexaec9b527e80

12011334434432 has 64 divisors (see below), whose sum is σ = 24352424560800. Its totient is φ = 5900161864704.

The previous prime is 12011334434383. The next prime is 12011334434471. The reversal of 12011334434432 is 23443443311021.

12011334434432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12011334434392 and 12011334434401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1256363 + ... + 5059754.

Almost surely, 212011334434432 is an apocalyptic number.

It is an amenable number.

12011334434432 is an abundant number, since it is smaller than the sum of its proper divisors (12341090126368).

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

12011334434432 is an equidigital number, since it uses as much as digits as its factorization.

12011334434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316393 (or 6316381 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 12011334434432 its reverse (23443443311021), we get a palindrome (35454777745453).

The spelling of 12011334434432 in words is "twelve trillion, eleven billion, three hundred thirty-four million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 83 128 166 179 332 358 664 716 1328 1432 2656 2864 5312 5728 10624 11456 14857 22912 29714 59428 118856 237712 475424 950848 1901696 6316117 12632234 25264468 50528936 101057872 202115744 404231488 524237711 808462976 1048475422 1130584943 2096950844 2261169886 4193901688 4522339772 8387803376 9044679544 16775606752 18089359088 33551213504 36178718176 67102427008 72357436352 93838550269 144714872704 187677100538 375354201076 750708402152 1501416804304 3002833608608 6005667217216 12011334434432