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12166921836433 = 713378779674261
BaseRepresentation
bin1011000100001101010100…
…0011011101011110010001
31121002010221200221222022201
42301003111003131132101
53043320323442231213
641513223504203201
72364013444140610
oct261032503353621
947063850858281
1012166921836433
113970a65205141
121446045609501
136a34499c5bc0
14300c4c903877
151617523d76dd
hexb10d50dd791

12166921836433 has 64 divisors (see below), whose sum is σ = 15416469849088. Its totient is φ = 9343849374720.

The previous prime is 12166921836373. The next prime is 12166921836473. The reversal of 12166921836433 is 33463812966121.

It is not a de Polignac number, because 12166921836433 - 237 = 12029482882961 is a prime.

It is the 3488112-nd Hogben number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 12166921836433 = 70503 + 227773 = 153063 + 204733.

It is not an unprimeable number, because it can be changed into a prime (12166921836473) by changing a digit.

It is a nontrivial repunit in base 3488111.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2855412523 + ... + 2855416783.

It is an arithmetic number, because the mean of its divisors is an integer number (240882341392).

Almost surely, 212166921836433 is an apocalyptic number.

12166921836433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12166921836433 is a deficient number, since it is larger than the sum of its proper divisors (3249548012655).

12166921836433 is a wasteful number, since it uses less digits than its factorization.

12166921836433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162.

The product of its digits is 6718464, while the sum is 55.

The spelling of 12166921836433 in words is "twelve trillion, one hundred sixty-six billion, nine hundred twenty-one million, eight hundred thirty-six thousand, four hundred thirty-three".

Divisors: 1 7 13 37 91 259 481 877 967 3367 4261 6139 6769 11401 12571 29827 32449 35779 55393 79807 87997 157657 227143 250453 387751 421837 465127 848059 1103599 2049541 2952859 3255889 3736897 4120387 5936413 11024767 14346787 26158279 28842709 31378183 48579661 53565031 77173369 138265189 152454319 219647281 340057627 374955217 407916379 967856323 1067180233 1797447457 1981906147 2855414653 3613579399 12582132199 13873343029 25295055793 46976532187 133702437763 328835725309 935917064341 1738131690919 12166921836433