Search a number
-
+
18238243709952 = 210357231373323
BaseRepresentation
bin1000010010110011011000…
…00010011010010000000000
32101120120002120012002200000
410021121230002122100000
54342303410342204302
6102442311122400000
73561445452443310
oct411315402322000
971516076162600
1018238243709952
1158a1883116812
12206683ab00000
13a23b222c6406
14470a42ac1440
15219642a4231c
hex10966c09a400

18238243709952 has 1056 divisors, whose sum is σ = 65623676332032. Its totient is φ = 4946493505536.

The previous prime is 18238243709897. The next prime is 18238243709953. The reversal of 18238243709952 is 25990734283281.

18238243709952 is a `hidden beast` number, since 1 + 8 + 238 + 24 + 370 + 9 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 18238243709952.

It is not an unprimeable number, because it can be changed into a prime (18238243709953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5488485763 + ... + 5488489085.

Almost surely, 218238243709952 is an apocalyptic number.

18238243709952 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 18238243709952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32811838166016).

18238243709952 is an abundant number, since it is smaller than the sum of its proper divisors (47385432622080).

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

18238243709952 is a wasteful number, since it uses less digits than its factorization.

18238243709952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 18238243709952 in words is "eighteen trillion, two hundred thirty-eight billion, two hundred forty-three million, seven hundred nine thousand, nine hundred fifty-two".