Search a number
-
+
1828906533216 = 253371797183383
BaseRepresentation
bin11010100111010011010…
…100110000000101100000
320110211201122022012102000
4122213103110300011200
5214431100033030331
63520104342124000
7246064003014060
oct32472324600540
96424648265360
101828906533216
116456a9070964
12256555120600
13103607c06229
146473b8d93a0
153289268c0e6
hex1a9d3530160

1828906533216 has 384 divisors, whose sum is σ = 6521545820160. Its totient is φ = 486733971456.

The previous prime is 1828906533173. The next prime is 1828906533217. The reversal of 1828906533216 is 6123356098281.

1828906533216 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 90 + 6 + 533 + 2 + 16 = 666.

It is a super-2 number, since 2×18289065332162 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828906533217) 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 63 ways as a sum of consecutive naturals, for example, 9881461 + ... + 10064843.

It is an arithmetic number, because the mean of its divisors is an integer number (16983192240).

Almost surely, 21828906533216 is an apocalyptic number.

1828906533216 is a gapful number since it is divisible by the number (16) 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 1828906533216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260772910080).

1828906533216 is an abundant number, since it is smaller than the sum of its proper divisors (4692639286944).

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

1828906533216 is a wasteful number, since it uses less digits than its factorization.

1828906533216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183523 (or 183509 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1828906533216 in words is "one trillion, eight hundred twenty-eight billion, nine hundred six million, five hundred thirty-three thousand, two hundred sixteen".