Search a number
-
+
3390555091716 = 2236132432612
BaseRepresentation
bin110001010101101100110…
…101001111001100000100
3110000010121121120121000000
4301111230311033030010
5421022324100413331
611113333254321300
7466650054522252
oct61255465171404
913003547517000
103390555091716
111097a20a59751
12469142059230
131b7960484a00
14ba16494d5d2
155d2e1d7b0e6
hex3156cd4f304

3390555091716 has 567 divisors, whose sum is σ = 10026659042127. Its totient is φ = 1002281454720.

The previous prime is 3390555091543. The next prime is 3390555091787. The reversal of 3390555091716 is 6171905550933.

The square root of 3390555091716 is 1841346.

It is a perfect power (a square), and thus also a powerful number.

3390555091716 is a `hidden beast` number, since 3 + 390 + 55 + 50 + 91 + 71 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2384337456900 + 1006217634816 = 1544130^2 + 1003104^2 .

It is a super-2 number, since 2×33905550917162 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 55582870326 + ... + 55582870386.

Almost surely, 23390555091716 is an apocalyptic number.

3390555091716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3390555091716 is the 1841346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3390555091716

3390555091716 is an abundant number, since it is smaller than the sum of its proper divisors (6636103950411).

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

3390555091716 is an equidigital number, since it uses as much as digits as its factorization.

3390555091716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3827250, while the sum is 54.

It can be divided in two parts, 33905550917 and 16, that added together give a palindrome (33905550933).

The spelling of 3390555091716 in words is "three trillion, three hundred ninety billion, five hundred fifty-five million, ninety-one thousand, seven hundred sixteen".