Search a number
-
+
3818438683488 = 25331113435371191
BaseRepresentation
bin110111100100001100101…
…011100110101101100000
3111112001001120001012002000
4313210030223212231200
51000030130300332423
612042055544524000
7542605320165612
oct67441453465540
914461046035060
103818438683488
1112424330aa270
12518057480600
13219100873980
14d2b5603cdb2
15694d6694843
hex3790cae6b60

3818438683488 has 1536 divisors, whose sum is σ = 13905608048640. Its totient is φ = 1003871232000.

The previous prime is 3818438683321. The next prime is 3818438683489. The reversal of 3818438683488 is 8843868348183.

3818438683488 is a `hidden beast` number, since 3 + 8 + 1 + 84 + 3 + 8 + 68 + 3 + 488 = 666.

3818438683488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38184386834882 (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3818438683489) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19991825473 + ... + 19991825663.

It is an arithmetic number, because the mean of its divisors is an integer number (9053130240).

Almost surely, 23818438683488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3818438683488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952804024320).

3818438683488 is an abundant number, since it is smaller than the sum of its proper divisors (10087169365152).

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

3818438683488 is a wasteful number, since it uses less digits than its factorization.

3818438683488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its digits is 679477248, while the sum is 72.

The spelling of 3818438683488 in words is "three trillion, eight hundred eighteen billion, four hundred thirty-eight million, six hundred eighty-three thousand, four hundred eighty-eight".