Search a number
-
+
1166412111296 = 26109277603623
BaseRepresentation
bin10000111110010011100…
…101000101110111000000
311010111201021011120120112
4100332103211011313000
5123102303000030141
62251501535330452
7150161531234165
oct20762345056700
94114637146515
101166412111296
1140a744257193
1216a085080a28
1385cb8ac3353
14406517a406c
152051b0e37eb
hex10f93945dc0

1166412111296 has 56 divisors (see below), whose sum is σ = 2344270383840. Its totient is φ = 575768466432.

The previous prime is 1166412111233. The next prime is 1166412111301. The reversal of 1166412111296 is 6921112146611.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1630541 + ... + 2234163.

It is an arithmetic number, because the mean of its divisors is an integer number (41861971140).

Almost surely, 21166412111296 is an apocalyptic number.

1166412111296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166412111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172135191920).

1166412111296 is an abundant number, since it is smaller than the sum of its proper divisors (1177858272544).

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

1166412111296 is a wasteful number, since it uses less digits than its factorization.

1166412111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604021 (or 604011 counting only the distinct ones).

The product of its digits is 31104, while the sum is 41.

The spelling of 1166412111296 in words is "one trillion, one hundred sixty-six billion, four hundred twelve million, one hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 109 218 277 436 554 872 1108 1744 2216 3488 4432 6976 8864 17728 30193 60386 120772 241544 483088 603623 966176 1207246 1932352 2414492 4828984 9657968 19315936 38631872 65794907 131589814 167203571 263179628 334407142 526359256 668814284 1052718512 1337628568 2105437024 2675257136 4210874048 5350514272 10701028544 18225189239 36450378478 72900756956 145801513912 291603027824 583206055648 1166412111296