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18738405347103 = 3213239197577107
BaseRepresentation
bin1000100001010110111111…
…11111101000111100011111
32110100101002200112211101200
410100223133333220330133
54424002223232101403
6103504145442210543
73642543103301211
oct420533777507437
973311080484350
1018738405347103
115a74a05344632
122127766053a53
13a5c040a88b70
1448ad2d57c5b1
15227667952ca3
hex110adffe8f1f

18738405347103 has 48 divisors (see below), whose sum is σ = 30449063124480. Its totient is φ = 11017960759872.

The previous prime is 18738405347069. The next prime is 18738405347117. The reversal of 18738405347103 is 30174350483781.

18738405347103 is a `hidden beast` number, since 1 + 8 + 7 + 38 + 4 + 0 + 534 + 71 + 0 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-18738405347103 is a prime.

It is a super-2 number, since 2×187384053471032 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18738405347103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18738405347143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1315525 + ... + 6261582.

It is an arithmetic number, because the mean of its divisors is an integer number (634355481760).

Almost surely, 218738405347103 is an apocalyptic number.

18738405347103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

18738405347103 is a deficient number, since it is larger than the sum of its proper divisors (11710657777377).

18738405347103 is a wasteful number, since it uses less digits than its factorization.

18738405347103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578068 (or 7578065 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 18738405347103 in words is "eighteen trillion, seven hundred thirty-eight billion, four hundred five million, three hundred forty-seven thousand, one hundred three".

Divisors: 1 3 9 13 23 39 69 117 207 299 897 919 2691 2757 8271 11947 21137 35841 63411 107523 190233 274781 824343 2473029 7577107 22731321 68193963 98502391 174273461 295507173 522820383 886521519 1568461149 2265554993 6796664979 6963361333 20389994937 20890083999 62670251997 90523697329 160157310659 271571091987 480471931977 814713275961 1441415795931 2082045038567 6246135115701 18738405347103