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18704444440781 = 113173132641031
BaseRepresentation
bin1000100000010111101111…
…10001000100000011001101
32110020010102220010001000102
410100023313301010003031
54422423200234101111
6103440411514140445
73640231366330421
oct420136761040315
973203386101012
1018704444440781
115a61568299000
122121068721725
13a58a8ac0c518
1448942b078b81
1522682b22713b
hex1102f7c440cd

18704444440781 has 32 divisors (see below), whose sum is σ = 21853293232896. Its totient is φ = 15952666329600.

The previous prime is 18704444440763. The next prime is 18704444440853.

18704444440781 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-18704444440781 is a prime.

It is a super-2 number, since 2×187044444407812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18704444440181) 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 31 ways as a sum of consecutive naturals, for example, 5761736 + ... + 8402766.

It is an arithmetic number, because the mean of its divisors is an integer number (682915413528).

Almost surely, 218704444440781 is an apocalyptic number.

18704444440781 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18704444440781 is a deficient number, since it is larger than the sum of its proper divisors (3148848792115).

18704444440781 is a wasteful number, since it uses less digits than its factorization.

18704444440781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641394 (or 2641372 counting only the distinct ones).

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

The spelling of 18704444440781 in words is "eighteen trillion, seven hundred four billion, four hundred forty-four million, four hundred forty thousand, seven hundred eighty-one".

Divisors: 1 11 17 121 187 313 1331 2057 3443 5321 22627 37873 58531 416603 643841 2641031 7082251 29051341 44897527 319564751 493872797 826642703 3515212261 5432600767 9093069733 14052925951 59758608437 100023767063 154582185461 1100261437693 1700404040071 18704444440781