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12355211266055 = 5722989109117909
BaseRepresentation
bin1011001111001010101111…
…1110101000100000000111
31121202010221220202001021022
42303302223332220200013
53104411433041003210
642135523344141355
72413430436654200
oct263625376504007
947663856661238
1012355211266055
113a338a77294a9
12147663330785b
136b8125b19c98
14309dd15c85a7
151665c270d155
hexb3cabfa8807

12355211266055 has 96 divisors (see below), whose sum is σ = 18059598648000. Its totient is φ = 8080227133440.

The previous prime is 12355211266003. The next prime is 12355211266147. The reversal of 12355211266055 is 55066211255321.

It is not a de Polignac number, because 12355211266055 - 220 = 12355210217479 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12355211265997 and 12355211266015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 689879441 + ... + 689897349.

It is an arithmetic number, because the mean of its divisors is an integer number (188120819250).

Almost surely, 212355211266055 is an apocalyptic number.

12355211266055 is a deficient number, since it is larger than the sum of its proper divisors (5704387381945).

12355211266055 is a wasteful number, since it uses less digits than its factorization.

12355211266055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19137 (or 19130 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 44.

The spelling of 12355211266055 in words is "twelve trillion, three hundred fifty-five billion, two hundred eleven million, two hundred sixty-six thousand, fifty-five".

Divisors: 1 5 7 29 35 49 89 145 203 245 445 623 1015 1091 1421 2581 3115 4361 5455 7105 7637 12905 17909 18067 21805 31639 38185 53459 89545 90335 97099 125363 126469 158195 221473 267295 485495 519361 626815 632345 679693 877541 1107365 1550311 1593901 2596805 2815871 3398465 3635527 4387705 4757851 7751555 7969505 11157307 14079355 18177635 19538719 19711097 23789255 25448689 46223129 55786535 78101149 97693595 98555485 127243445 136771033 137977679 231115645 323561903 390505745 566622851 683855165 689888395 957397231 1617809515 1738945991 2264933321 2833114255 3966359957 4786986155 8694729955 11324666605 12172621937 19831799785 27764519699 50429433739 60863109685 85208353559 138822598495 252147168695 353006036173 426041767795 1765030180865 2471042253211 12355211266055