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328063354112 = 2813421234149
BaseRepresentation
bin1001100011000100001…
…10011000010100000000
31011100210022002010101202
410301202012120110000
520333333204312422
6410413224120332
732462500333304
oct4614206302400
91140708063352
10328063354112
1111714923563a
12536b79060a8
1324c22bcc1a0
1411c422a3d04
15880128bb92
hex4c62198500

328063354112 has 72 divisors (see below), whose sum is σ = 706896040200. Its totient is φ = 151053557760.

The previous prime is 328063354109. The next prime is 328063354117. The reversal of 328063354112 is 211453360823.

It can be written as a sum of positive squares in 4 ways, for example, as 34056487936 + 294006866176 = 184544^2 + 542224^2 .

It is a super-2 number, since 2×3280633541122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328063354117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1284014 + ... + 1518162.

Almost surely, 2328063354112 is an apocalyptic number.

328063354112 is a gapful number since it is divisible by the number (32) 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 328063354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353448020100).

328063354112 is an abundant number, since it is smaller than the sum of its proper divisors (378832686088).

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

328063354112 is a wasteful number, since it uses less digits than its factorization.

328063354112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234599 (or 234585 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 328063354112 in words is "three hundred twenty-eight billion, sixty-three million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 421 832 842 1664 1684 3328 3368 5473 6736 10946 13472 21892 26944 43784 53888 87568 107776 175136 234149 350272 468298 700544 936596 1401088 1873192 3043937 3746384 6087874 7492768 12175748 14985536 24351496 29971072 48702992 59942144 97405984 98576729 194811968 197153458 389623936 394306916 779247872 788613832 1281497477 1577227664 2562994954 3154455328 5125989908 6308910656 10251979816 12617821312 20503959632 25235642624 41007919264 82015838528 164031677056 328063354112