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18493248100 = 2252184932481
BaseRepresentation
bin10001001110010010…
…001001001001100100
31202201211022100012211
4101032102021021210
5300333232414400
612255022253204
71223165005135
oct211622111144
952654270184
1018493248100
11792aa58018
123701427204
131989490372
14c76145c8c
1573383adba
hex44e489264

18493248100 has 18 divisors (see below), whose sum is σ = 40130348594. Its totient is φ = 7397299200.

The previous prime is 18493248079. The next prime is 18493248113. The reversal of 18493248100 is 184239481.

It can be written as a sum of positive squares in 3 ways, for example, as 3497776164 + 14995471936 = 59142^2 + 122456^2 .

It is a super-2 number, since 2×184932481002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92466141 + ... + 92466340.

Almost surely, 218493248100 is an apocalyptic number.

18493248100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18493248100 is an abundant number, since it is smaller than the sum of its proper divisors (21637100494).

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

18493248100 is a wasteful number, since it uses less digits than its factorization.

18493248100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184932495 (or 184932488 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 18493248100 in words is "eighteen billion, four hundred ninety-three million, two hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 184932481 369864962 739729924 924662405 1849324810 3698649620 4623312025 9246624050 18493248100