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12434433160221 = 3229611077299143
BaseRepresentation
bin1011010011110001110111…
…1110001011010000011101
31122000201110000201020201200
42310330131332023100131
53112211204342111341
642240144424230113
72422233562650522
oct264743576132035
948021400636650
1012434433160221
113a64460399106
121489a6260b339
136c273c996537
1430db88c97149
151686ac72bdb6
hexb4f1df8b41d

12434433160221 has 48 divisors (see below), whose sum is σ = 19061276607360. Its totient is φ = 7798987244160.

The previous prime is 12434433160187. The next prime is 12434433160229. The reversal of 12434433160221 is 12206133443421.

12434433160221 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 4 + 43 + 3 + 1 + 602 + 2 + 1 = 666.

It is not a de Polignac number, because 12434433160221 - 233 = 12425843225629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434433160229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1946025 + ... + 5353118.

It is an arithmetic number, because the mean of its divisors is an integer number (397109929320).

Almost surely, 212434433160221 is an apocalyptic number.

It is an amenable number.

12434433160221 is a deficient number, since it is larger than the sum of its proper divisors (6626843447139).

12434433160221 is a wasteful number, since it uses less digits than its factorization.

12434433160221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299346 (or 7299343 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 12434433160221 in words is "twelve trillion, four hundred thirty-four billion, four hundred thirty-three million, one hundred sixty thousand, two hundred twenty-one".

Divisors: 1 3 9 29 61 87 107 183 261 321 549 963 1769 3103 5307 6527 9309 15921 19581 27927 58743 189283 567849 1703547 7299143 21897429 65692287 211675147 445247723 635025441 781008301 1335743169 1905076323 2343024903 4007229507 7029074709 12912183967 22649240729 38736551901 47641506361 67947722187 116209655703 142924519083 203843166561 428773557249 1381603684469 4144811053407 12434433160221