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12349954851066 = 2327234261544117
BaseRepresentation
bin1011001110110111001010…
…1011000000000011111010
31121201122101120212111110200
42303231302223000003322
53104320201420213231
642133254013023030
72413153252116150
oct263556253000372
947648346774420
1012349954851066
113a3164a607088
121475606a84a76
136b7798b10b61
14309a5345b3d0
151663b6006be6
hexb3b72ac00fa

12349954851066 has 48 divisors (see below), whose sum is σ = 31910442355584. Its totient is φ = 3375142939872.

The previous prime is 12349954851061. The next prime is 12349954851077. The reversal of 12349954851066 is 66015845994321.

12349954851066 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 9 + 9 + 54 + 8 + 510 + 66 = 666.

12349954851066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 12349954850994 and 12349954851012.

It is not an unprimeable number, because it can be changed into a prime (12349954851061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2130769161 + ... + 2130774956.

It is an arithmetic number, because the mean of its divisors is an integer number (664800882408).

Almost surely, 212349954851066 is an apocalyptic number.

12349954851066 is an abundant number, since it is smaller than the sum of its proper divisors (19560487504518).

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

12349954851066 is a wasteful number, since it uses less digits than its factorization.

12349954851066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261544155 (or 4261544152 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 12349954851066 in words is "twelve trillion, three hundred forty-nine billion, nine hundred fifty-four million, eight hundred fifty-one thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 4261544117 8523088234 12784632351 25569264702 29830808819 38353897053 59661617638 76707794106 89492426457 98015514691 178984852914 196031029382 268477279371 294046544073 536954558742 588093088146 686108602837 882139632219 1372217205674 1764279264438 2058325808511 4116651617022 6174977425533 12349954851066