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18821947005 = 3253793110273
BaseRepresentation
bin10001100001111000…
…000001111001111101
31210120201210222100100
4101201320001321331
5302021404301010
612351403351313
71234265624031
oct214170017175
953521728310
1018821947005
117a89553404
123793522539
131a0c5c8b64
14ca7a6a1c1
157526182c0
hex461e01e7d

18821947005 has 24 divisors (see below), whose sum is σ = 32633605368. Its totient is φ = 10035634176.

The previous prime is 18821947003. The next prime is 18821947007. The reversal of 18821947005 is 50074912881.

It is an interprime number because it is at equal distance from previous prime (18821947003) and next prime (18821947007).

It can be written as a sum of positive squares in 4 ways, for example, as 4656424644 + 14165522361 = 68238^2 + 119019^2 .

It is not a de Polignac number, because 18821947005 - 21 = 18821947003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18821947003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115549 + ... + 225821.

It is an arithmetic number, because the mean of its divisors is an integer number (1359733557).

Almost surely, 218821947005 is an apocalyptic number.

18821947005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18821947005 is a deficient number, since it is larger than the sum of its proper divisors (13811658363).

18821947005 is a wasteful number, since it uses less digits than its factorization.

18821947005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114077 (or 114074 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 18821947005 in words is "eighteen billion, eight hundred twenty-one million, nine hundred forty-seven thousand, five".

Divisors: 1 3 5 9 15 45 3793 11379 18965 34137 56895 110273 170685 330819 551365 992457 1654095 4962285 418265489 1254796467 2091327445 3764389401 6273982335 18821947005