Search a number
-
+
18397829726208 = 2163247663661
BaseRepresentation
bin1000010111011100101000…
…00110110000000000000000
32102010211000101102200201200
410023232110012300000000
54402412223402214313
6103043502444501200
73606125241263652
oct413562406600000
972124011380650
1018397829726208
115953526282849
122091757b4a800
13a35ba586682a
144786616306d2
1521d882ea7b73
hex10bb941b0000

18397829726208 has 204 divisors, whose sum is σ = 54279789409248. Its totient is φ = 6002119802880.

The previous prime is 18397829726201. The next prime is 18397829726293. The reversal of 18397829726208 is 80262792879381.

18397829726208 is a `hidden beast` number, since 1 + 8 + 3 + 9 + 78 + 297 + 262 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18397829726201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27389898 + ... + 28053558.

Almost surely, 218397829726208 is an apocalyptic number.

18397829726208 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 18397829726208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27139894704624).

18397829726208 is an abundant number, since it is smaller than the sum of its proper divisors (35881959683040).

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

18397829726208 is an frugal number, since it uses more digits than its factorization.

18397829726208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663746 (or 663713 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 18397829726208 in words is "eighteen trillion, three hundred ninety-seven billion, eight hundred twenty-nine million, seven hundred twenty-six thousand, two hundred eight".