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12933296085280 = 255237509340337
BaseRepresentation
bin1011110000110100010010…
…0001001101100100100000
31200210102002122022120101111
42330031010201031210200
53143344342244212110
643301250232113104
72503254063600664
oct274150441154440
950712078276344
1012933296085280
114136a8651934a
12154a686835794
1372a7b23822ac
14329d9108a8a4
15176658603e8a
hexbc34484d920

12933296085280 has 48 divisors (see below), whose sum is σ = 30555130427640. Its totient is φ = 5173281452032.

The previous prime is 12933296085181. The next prime is 12933296085343. The reversal of 12933296085280 is 8258069233921.

It can be written as a sum of positive squares in 4 ways, for example, as 8179622880016 + 4753673205264 = 2860004^2 + 2180292^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37831272 + ... + 38171608.

Almost surely, 212933296085280 is an apocalyptic number.

12933296085280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12933296085280 is an abundant number, since it is smaller than the sum of its proper divisors (17621834342360).

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

12933296085280 is a wasteful number, since it uses less digits than its factorization.

12933296085280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577861 (or 577853 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 12933296085280 in words is "twelve trillion, nine hundred thirty-three billion, two hundred ninety-six million, eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 237509 340337 475018 680674 950036 1187545 1361348 1701685 1900072 2375090 2722696 3403370 3800144 4750180 5445392 6806740 7600288 9500360 10890784 13613480 19000720 27226960 38001440 54453920 80833100533 161666201066 323332402132 404165502665 646664804264 808331005330 1293329608528 1616662010660 2586659217056 3233324021320 6466648042640 12933296085280