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12053351274368 = 27971098906347
BaseRepresentation
bin1010111101100110001110…
…1110001001011110000000
31120200021210202220122121012
42233121203232021132000
53034440230411234433
641345122205020052
72352553165243325
oct257314356113600
946607722818535
1012053351274368
113927885622998
12142802ab54628
1369581a8550a1
142d9557434b4c
1515d806ae5848
hexaf663b89780

12053351274368 has 64 divisors (see below), whose sum is σ = 24482660017200. Its totient is φ = 5909823700992.

The previous prime is 12053351274253. The next prime is 12053351274373. The reversal of 12053351274368 is 86347215335021.

12053351274368 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 super-2 number, since 2×120533512743682 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 3099830 + ... + 5806517.

Almost surely, 212053351274368 is an apocalyptic number.

It is an amenable number.

12053351274368 is an abundant number, since it is smaller than the sum of its proper divisors (12429308742832).

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

12053351274368 is an equidigital number, since it uses as much as digits as its factorization.

12053351274368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8906567 (or 8906555 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 12053351274368 in words is "twelve trillion, fifty-three billion, three hundred fifty-one million, two hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 97 109 128 194 218 388 436 776 872 1552 1744 3104 3488 6208 6976 10573 12416 13952 21146 42292 84584 169168 338336 676672 1353344 8906347 17812694 35625388 71250776 142501552 285003104 570006208 863915659 970791823 1140012416 1727831318 1941583646 3455662636 3883167292 6911325272 7766334584 13822650544 15532669168 27645301088 31065338336 55290602176 62130676672 94166806831 110581204352 124261353344 188333613662 376667227324 753334454648 1506668909296 3013337818592 6026675637184 12053351274368