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4831609344 = 29343191383
BaseRepresentation
bin1000111111111110…
…01000001000000000
3110110201112012000020
410133333020020000
534343342444334
62115234053440
7230506000422
oct43777101000
913421465006
104831609344
11205a354681
12b2a11a280
135bccc0c53
1433b98a812
151d4292e49
hex11ffc8200

4831609344 has 160 divisors (see below), whose sum is σ = 13274578944. Its totient is φ = 1560760320.

The previous prime is 4831609339. The next prime is 4831609357. The reversal of 4831609344 is 4439061384.

It is a super-2 number, since 2×48316093442 = 46688897706056220672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4831609296 and 4831609305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12614977 + ... + 12615359.

Almost surely, 24831609344 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 4831609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637289472).

4831609344 is an abundant number, since it is smaller than the sum of its proper divisors (8442969600).

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

4831609344 is a wasteful number, since it uses less digits than its factorization.

4831609344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 4831609344 is about 69509.7787652932. The cubic root of 4831609344 is about 1690.5600590009.

The spelling of 4831609344 in words is "four billion, eight hundred thirty-one million, six hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 191 192 256 258 344 382 383 384 512 516 573 688 764 766 768 1032 1146 1149 1376 1528 1532 1536 2064 2292 2298 2752 3056 3064 4128 4584 4596 5504 6112 6128 8213 8256 9168 9192 11008 12224 12256 16426 16469 16512 18336 18384 22016 24448 24512 24639 32852 32938 33024 36672 36768 48896 49024 49278 49407 65704 65876 66048 73153 73344 73536 97792 98048 98556 98814 131408 131752 146306 146688 147072 196096 197112 197628 219459 262816 263504 292612 293376 294144 394224 395256 438918 525632 527008 585224 588288 788448 790512 877836 1051264 1054016 1170448 1576896 1581024 1755672 2102528 2108032 2340896 3145579 3153792 3162048 3511344 4205056 4216064 4681792 6291158 6307584 6324096 7022688 8432128 9363584 9436737 12582316 12615168 12648192 14045376 18727168 18873474 25164632 25296384 28090752 37454336 37746948 50329264 56181504 75493896 100658528 112363008 150987792 201317056 301975584 402634112 603951168 805268224 1207902336 1610536448 2415804672 4831609344