1828187424100 has 36 divisors (see below), whose sum is σ = 3987722020324. Its totient is φ = 727485972480.

The previous prime is 1828187424097. The next prime is 1828187424103. The reversal of 1828187424100 is 14247818281.

It is an interprime number because it is at equal distance from previous prime (1828187424097) and next prime (1828187424103).

It can be written as a sum of positive squares in 6 ways, for example, as 26235576676 + 1801951847424 = 161974^2 + 1342368^2 .

It is not an unprimeable number, because it can be changed into a prime (1828187424103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47343069 + ... + 47381668.

Almost surely, 2^{1828187424100} is an apocalyptic number.

1828187424100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828187424100 is an abundant number, since it is smaller than the sum of its proper divisors (2159534596224).

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

1828187424100 is a wasteful number, since it uses less digits than its factorization.

1828187424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94724944 (or 94724937 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 46.

The spelling of 1828187424100 in words is "one trillion, eight hundred twenty-eight billion, one hundred eighty-seven million, four hundred twenty-four thousand, one hundred".