Search a number
-
+
18194807592468 = 22341319933165581
BaseRepresentation
bin1000010001100010011110…
…00010110001011000010100
32101102101222102110201010000
410020301033002301120110
54341100431220424333
6102410325035531300
73555350202520263
oct410611702613024
971371872421100
1018194807592468
115885413603861
12205a3382b9b30
13a1c9bc3b3750
1446c8c20245da
1521844e56b713
hex108c4f0b1614

18194807592468 has 240 divisors, whose sum is σ = 51637378038400. Its totient is φ = 5553356371200.

The previous prime is 18194807592463. The next prime is 18194807592473. The reversal of 18194807592468 is 86429570849181.

18194807592468 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 4 + 8 + 0 + 75 + 92 + 468 = 666.

It is an interprime number because it is at equal distance from previous prime (18194807592463) and next prime (18194807592473).

It is a junction number, because it is equal to n+sod(n) for n = 18194807592396 and 18194807592405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18194807592463) 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 79 ways as a sum of consecutive naturals, for example, 277407438 + ... + 277473018.

Almost surely, 218194807592468 is an apocalyptic number.

18194807592468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18194807592468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25818689019200).

18194807592468 is an abundant number, since it is smaller than the sum of its proper divisors (33442570445932).

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

18194807592468 is a wasteful number, since it uses less digits than its factorization.

18194807592468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66140 (or 66129 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 18194807592468 in words is "eighteen trillion, one hundred ninety-four billion, eight hundred seven million, five hundred ninety-two thousand, four hundred sixty-eight".