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6442450944 = 2313
BaseRepresentation
bin1100000000000000…
…00000000000000000
3121121222121102021020
412000000000000000
5101143231412234
62543140025440
7315435633546
oct60000000000
917558542236
106442450944
112806660826
1212b9692280
137b8951667
144518a3d96
1527a8d4549
hex180000000

6442450944 has 64 divisors (see below), whose sum is σ = 17179869180. Its totient is φ = 2147483648.

The previous prime is 6442450939. The next prime is 6442450967. The reversal of 6442450944 is 4490542446.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)28.

It is a tau number, because it is divible by the number of its divisors (64).

It is an ABA number since it can be written as A⋅BA, here for A=6, B=32.

It is a super-2 number, since 2×64424509442 = 83010348331692982272, which contains 22 as substring.

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6442450896 and 6442450905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 6442450944 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2147483647 + 2147483648 + 2147483649.

Almost surely, 26442450944 is an apocalyptic number.

6442450944 is a gapful number since it is divisible by the number (64) 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 6442450944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8589934590).

6442450944 is an abundant number, since it is smaller than the sum of its proper divisors (10737418236).

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

6442450944 is an frugal number, since it uses more digits than its factorization.

6442450944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 6442450944 is about 80264.8798915192. The cubic root of 6442450944 is about 1860.7314870601.

The spelling of 6442450944 in words is "six billion, four hundred forty-two million, four hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 65536 98304 131072 196608 262144 393216 524288 786432 1048576 1572864 2097152 3145728 4194304 6291456 8388608 12582912 16777216 25165824 33554432 50331648 67108864 100663296 134217728 201326592 268435456 402653184 536870912 805306368 1073741824 1610612736 2147483648 3221225472 6442450944