Search a number
-
+
1890026312328 = 2332711257154277
BaseRepresentation
bin11011100000001110010…
…110001101001010001000
320200200111011221200022200
4123200032112031022020
5221431233213443303
64004133251120200
7253356420403650
oct33401626151210
96620434850280
101890026312328
11669612642600
12266371ba3060
131092c864aabb
1467698d99360
153426d3813a3
hex1b80e58d288

1890026312328 has 288 divisors, whose sum is σ = 6441634879680. Its totient is φ = 490047148800.

The previous prime is 1890026312323. The next prime is 1890026312333. The reversal of 1890026312328 is 8232136200981.

1890026312328 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 0 + 2 + 6 + 312 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (1890026312323) and next prime (1890026312333).

It is a super-2 number, since 2×18900263123282 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1890026312323) 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 71 ways as a sum of consecutive naturals, for example, 34794726 + ... + 34849002.

Almost surely, 21890026312328 is an apocalyptic number.

1890026312328 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 1890026312328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220817439840).

1890026312328 is an abundant number, since it is smaller than the sum of its proper divisors (4551608567352).

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

1890026312328 is a wasteful number, since it uses less digits than its factorization.

1890026312328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54889 (or 54871 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1890026312328 in words is "one trillion, eight hundred ninety billion, twenty-six million, three hundred twelve thousand, three hundred twenty-eight".