Search a number
-
+
18745218360 = 23325113192971
BaseRepresentation
bin10001011101010011…
…010101010100111000
31210101101102202102200
4101131103111110320
5301342233441420
612340023030200
71232344504251
oct213523252470
953341382380
1018745218360
117a4a207000
12377189b360
1319c97427ab
14c9b7b5b28
1574aa0db90
hex45d4d5538

18745218360 has 768 divisors, whose sum is σ = 73996416000. Its totient is φ = 4098124800.

The previous prime is 18745218337. The next prime is 18745218367. The reversal of 18745218360 is 6381254781.

18745218360 is a `hidden beast` number, since 1 + 8 + 74 + 5 + 218 + 360 = 666.

It is a super-2 number, since 2×187452183602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18745218367) 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 191 ways as a sum of consecutive naturals, for example, 264017125 + ... + 264017195.

It is an arithmetic number, because the mean of its divisors is an integer number (96349500).

Almost surely, 218745218360 is an apocalyptic number.

18745218360 is a gapful number since it is divisible by the number (10) 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 18745218360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36998208000).

18745218360 is an abundant number, since it is smaller than the sum of its proper divisors (55251197640).

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

18745218360 is a wasteful number, since it uses less digits than its factorization.

18745218360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

It can be divided in two parts, 1874521 and 8360, that added together give a palindrome (1882881).

The spelling of 18745218360 in words is "eighteen billion, seven hundred forty-five million, two hundred eighteen thousand, three hundred sixty".