Search a number
-
+
1803066468336 = 2434734056137
BaseRepresentation
bin11010001111001111001…
…000101110011111110000
320101101000210122220020000
4122033033020232133300
5214020140003441321
63500152311550000
7244160445051000
oct32171710563760
96341023586200
101803066468336
11635749019741
1225154338b300
1310104a62c903
14633a9b58000
1531d7dd7b826
hex1a3cf22e7f0

1803066468336 has 200 divisors, whose sum is σ = 6085829455200. Its totient is φ = 515161721088.

The previous prime is 1803066468331. The next prime is 1803066468347. The reversal of 1803066468336 is 6338646603081.

1803066468336 is a `hidden beast` number, since 180 + 30 + 66 + 46 + 8 + 336 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1803066468331) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1583541 + ... + 2472596.

It is an arithmetic number, because the mean of its divisors is an integer number (30429147276).

Almost surely, 21803066468336 is an apocalyptic number.

1803066468336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1803066468336 is an abundant number, since it is smaller than the sum of its proper divisors (4282762986864).

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

1803066468336 is an equidigital number, since it uses as much as digits as its factorization.

1803066468336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056178 (or 4056149 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 1803066468336 in words is "one trillion, eight hundred three billion, sixty-six million, four hundred sixty-eight thousand, three hundred thirty-six".