Search a number
-
+
18997498368 = 293217317823
BaseRepresentation
bin10001101100010101…
…101101001000000000
31211000222010220112200
4101230111231020000
5302401324421433
612421034153200
71241530033422
oct215425551000
954028126480
1018997498368
118069657782
123822282800
131a39aa2bc4
14cc30c6812
15762c43613
hex46c56d200

18997498368 has 240 divisors, whose sum is σ = 59933592576. Its totient is φ = 5767004160.

The previous prime is 18997498367. The next prime is 18997498397. The reversal of 18997498368 is 86389479981.

18997498368 is a `hidden beast` number, since 18 + 9 + 97 + 498 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18997498296 and 18997498305.

It is not an unprimeable number, because it can be changed into a prime (18997498367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2424505 + ... + 2432327.

Almost surely, 218997498368 is an apocalyptic number.

18997498368 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 18997498368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29966796288).

18997498368 is an abundant number, since it is smaller than the sum of its proper divisors (40936094208).

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

18997498368 is a wasteful number, since it uses less digits than its factorization.

18997498368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7895 (or 7876 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The spelling of 18997498368 in words is "eighteen billion, nine hundred ninety-seven million, four hundred ninety-eight thousand, three hundred sixty-eight".