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556340455413612 = 2233419711098711777
BaseRepresentation
bin111111001111111010001101…
…1001110000001011101101100
32200221211121221220012102202000
41332133310123032001131230
51040410040223041213422
65251123135451132300
7225120162055361052
oct17637643316013554
92627747856172660
10556340455413612
111512a3731351631
1252492610a44090
131ab578ab79b6cc
149b550438301d2
15444ba5a648cac
hex1f9fd1b38176c

556340455413612 has 192 divisors, whose sum is σ = 1479325649518080. Its totient is φ = 180705602764800.

The previous prime is 556340455413517. The next prime is 556340455413619. The reversal of 556340455413612 is 216314554043655.

556340455413612 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 4 + 0 + 4 + 5 + 5 + 4 + 13 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (556340455413619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47239567468 + ... + 47239579244.

It is an arithmetic number, because the mean of its divisors is an integer number (7704821091240).

Almost surely, 2556340455413612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556340455413612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739662824759040).

556340455413612 is an abundant number, since it is smaller than the sum of its proper divisors (922985194104468).

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

556340455413612 is a wasteful number, since it uses less digits than its factorization.

556340455413612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23789 (or 23781 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 556340455413612 in words is "five hundred fifty-six trillion, three hundred forty billion, four hundred fifty-five million, four hundred thirteen thousand, six hundred twelve".