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12133115617064 = 23131165710008113
BaseRepresentation
bin1011000010001111011000…
…0010111101111100101000
31120221220200200121002112212
42300203312002331330220
53042242110044221224
641445513143424252
72361405626050361
oct260436602757450
946856620532485
1012133115617064
113958697502172
12143b58ba55088
136a01bcbc98c0
142dd362b88b68
15160924564d0e
hexb08f60bdf28

12133115617064 has 32 divisors (see below), whose sum is σ = 24501664532520. Its totient is φ = 5599418566656.

The previous prime is 12133115616917. The next prime is 12133115617093. The reversal of 12133115617064 is 46071651133121.

12133115617064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11531172394564 + 601943222500 = 3395758^2 + 775850^2 .

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, 3791729 + ... + 6216384.

Almost surely, 212133115617064 is an apocalyptic number.

It is an amenable number.

12133115617064 is an abundant number, since it is smaller than the sum of its proper divisors (12368548915456).

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

12133115617064 is a wasteful number, since it uses less digits than its factorization.

12133115617064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10019789 (or 10019785 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 12133115617064 in words is "twelve trillion, one hundred thirty-three billion, one hundred fifteen million, six hundred seventeen thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 104 11657 23314 46628 93256 151541 303082 606164 1212328 10008113 20016226 40032452 80064904 130105469 260210938 520421876 1040843752 116664573241 233329146482 466658292964 933316585928 1516639452133 3033278904266 6066557808532 12133115617064