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126030262356 = 223218611881161
BaseRepresentation
bin111010101011111111…
…1010011000001010100
3110001022021011200022200
41311113333103001110
54031102221343411
6133521505524500
712051101361135
oct1652777230124
9401267150280
10126030262356
11494a3885519
1220513343730
13bb6661a64b
146158191c8c
1534295b9e56
hex1d57fd3054

126030262356 has 36 divisors (see below), whose sum is σ = 318747851604. Its totient is φ = 41987491200.

The previous prime is 126030262343. The next prime is 126030262373. The reversal of 126030262356 is 653262030621.

126030262356 is a `hidden beast` number, since 1 + 2 + 603 + 0 + 26 + 23 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 229522500 + 125800739856 = 15150^2 + 354684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126030262356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 873585 + ... + 1007576.

It is an arithmetic number, because the mean of its divisors is an integer number (8854106989).

Almost surely, 2126030262356 is an apocalyptic number.

It is an amenable number.

126030262356 is an abundant number, since it is smaller than the sum of its proper divisors (192717589248).

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

126030262356 is a wasteful number, since it uses less digits than its factorization.

126030262356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883032 (or 1883027 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 126030262356 its reverse (653262030621), we get a palindrome (779292292977).

The spelling of 126030262356 in words is "one hundred twenty-six billion, thirty million, two hundred sixty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1861 3722 5583 7444 11166 16749 22332 33498 66996 1881161 3762322 5643483 7524644 11286966 16930449 22573932 33860898 67721796 3500840621 7001681242 10502521863 14003362484 21005043726 31507565589 42010087452 63015131178 126030262356