Search a number
-
+
1328484884004 = 223323534816781
BaseRepresentation
bin10011010101001111110…
…111101001111000100100
311201000001101200111012000
4103111033313221320210
5133231214112242004
62454144133325300
7164660044124415
oct23251767517044
94630041614160
101328484884004
114724530a1143
12195576a96830
1398377606ba5
14484286b780c
1524854a1ac39
hex1354fde9e24

1328484884004 has 48 divisors (see below), whose sum is σ = 3593968775040. Its totient is φ = 423574889760.

The previous prime is 1328484884003. The next prime is 1328484884039. The reversal of 1328484884004 is 4004884848231.

1328484884004 is a `hidden beast` number, since 1 + 3 + 2 + 84 + 84 + 88 + 400 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1328484884003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267405907 + ... + 267410874.

It is an arithmetic number, because the mean of its divisors is an integer number (74874349480).

Almost surely, 21328484884004 is an apocalyptic number.

It is an amenable number.

1328484884004 is an abundant number, since it is smaller than the sum of its proper divisors (2265483891036).

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

1328484884004 is a wasteful number, since it uses less digits than its factorization.

1328484884004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534816817 (or 534816809 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 1328484884004 in words is "one trillion, three hundred twenty-eight billion, four hundred eighty-four million, eight hundred eighty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 534816781 1069633562 1604450343 2139267124 3208900686 4813351029 6417801372 9626702058 12300785963 14440053087 19253404116 24601571926 28880106174 36902357889 49203143852 57760212348 73804715778 110707073667 147609431556 221414147334 332121221001 442828294668 664242442002 1328484884004