Search a number
-
+
18000197229672 = 23327532791241441
BaseRepresentation
bin1000001011110111111110…
…10111001001110001101000
32100201210122200201221221100
410011323333113021301220
54324403400442322142
6102141102040241400
73535320444652260
oct405737727116150
970653580657840
1018000197229672
11580a928087889
122028685770260
13a07546876a18
144632dda6c7a0
1521335e366b4c
hex105eff5c9c68

18000197229672 has 192 divisors, whose sum is σ = 56786694831360. Its totient is φ = 5044048588800.

The previous prime is 18000197229671. The next prime is 18000197229673. The reversal of 18000197229672 is 27692279100081.

It is an interprime number because it is at equal distance from previous prime (18000197229671) and next prime (18000197229673).

It is not an unprimeable number, because it can be changed into a prime (18000197229671) 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, 74432472 + ... + 74673912.

It is an arithmetic number, because the mean of its divisors is an integer number (295764035580).

Almost surely, 218000197229672 is an apocalyptic number.

18000197229672 is a gapful number since it is divisible by the number (12) 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 18000197229672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28393347415680).

18000197229672 is an abundant number, since it is smaller than the sum of its proper divisors (38786497601688).

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

18000197229672 is a wasteful number, since it uses less digits than its factorization.

18000197229672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244304 (or 244297 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 18000197229672 in words is "eighteen trillion, one hundred ninety-seven million, two hundred twenty-nine thousand, six hundred seventy-two".