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4813031296 = 27176733013
BaseRepresentation
bin1000111101110000…
…10000011110000000
3110102102120022201101
410132320100132000
534324114000141
62113331544144
7230162043133
oct43670203600
913372508641
104813031296
11204a915717
12b23a5b054
135b91b7b18
1433931221a
151d2823531
hex11ee10780

4813031296 has 64 divisors (see below), whose sum is σ = 10304329680. Its totient is φ = 2231083008.

The previous prime is 4813031291. The next prime is 4813031309. The reversal of 4813031296 is 6921303184.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4813031291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129286 + ... + 162298.

Almost surely, 24813031296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4813031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152164840).

4813031296 is an abundant number, since it is smaller than the sum of its proper divisors (5491298384).

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

4813031296 is a wasteful number, since it uses less digits than its factorization.

4813031296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33111 (or 33099 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 4813031296 is about 69376.0138376370. The cubic root of 4813031296 is about 1688.3904819029.

The spelling of 4813031296 in words is "four billion, eight hundred thirteen million, thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 128 134 136 268 272 536 544 1072 1088 1139 2144 2176 2278 4288 4556 8576 9112 18224 33013 36448 66026 72896 132052 145792 264104 528208 561221 1056416 1122442 2112832 2211871 2244884 4225664 4423742 4489768 8847484 8979536 17694968 17959072 35389936 35918144 37601807 70779872 71836288 75203614 141559744 150407228 283119488 300814456 601628912 1203257824 2406515648 4813031296