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18447400474481 = 112613664368207
BaseRepresentation
bin1000011000111000111101…
…10000001001011101110001
32102022112222001112121200102
410030130132300021131301
54404220234010140411
6103122341354002145
73612531531553646
oct414343660113561
972275861477612
1018447400474481
115972553710700
12209b291116355
13a3a7756c2744
1447ac04d43dcd
1521ecd4d0bd3b
hex10c71ec09771

18447400474481 has 24 divisors (see below), whose sum is σ = 20610167448192. Its totient is φ = 16494748063200.

The previous prime is 18447400474471. The next prime is 18447400474501.

18447400474481 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-18447400474481 is a prime.

It is a super-3 number, since 3×184474004744813 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18447400474441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270427880 + ... + 270496086.

It is an arithmetic number, because the mean of its divisors is an integer number (858756977008).

Almost surely, 218447400474481 is an apocalyptic number.

18447400474481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18447400474481 is a deficient number, since it is larger than the sum of its proper divisors (2162766973711).

18447400474481 is a wasteful number, since it uses less digits than its factorization.

18447400474481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104933 (or 104922 counting only the distinct ones).

The product of its (nonzero) digits is 12845056, while the sum is 56.

The spelling of 18447400474481 in words is "eighteen trillion, four hundred forty-seven billion, four hundred million, four hundred seventy-four thousand, four hundred eighty-one".

Divisors: 1 11 61 121 671 7381 36643 68207 403073 750277 2235223 4160627 4433803 8253047 24587453 45766897 270461983 503435867 2499309101 27492400111 152457855161 302416401221 1677036406771 18447400474481