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16229583104 = 287231033823
BaseRepresentation
bin11110001110101101…
…11100100100000000
31112220001211020121112
433013112330210000
5231214233124404
611242240142452
71113120115550
oct170726744400
945801736545
1016229583104
1169791a3aa9
12318b307a28
1316b84ca817
14add655160
1564ec4556e
hex3c75bc900

16229583104 has 144 divisors (see below), whose sum is σ = 39018749952. Its totient is φ = 6586804224.

The previous prime is 16229583089. The next prime is 16229583121. The reversal of 16229583104 is 40138592261.

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, 4243337 + ... + 4247159.

Almost surely, 216229583104 is an apocalyptic number.

16229583104 is a gapful number since it is divisible by the number (14) 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 16229583104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19509374976).

16229583104 is an abundant number, since it is smaller than the sum of its proper divisors (22789166848).

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

16229583104 is a wasteful number, since it uses less digits than its factorization.

16229583104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

It can be divided in two parts, 16 and 229583104, that multiplied together give a square (3673329664 = 606082).

The spelling of 16229583104 in words is "sixteen billion, two hundred twenty-nine million, five hundred eighty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 103 112 128 161 184 206 224 256 322 368 412 448 644 721 736 824 896 1288 1442 1472 1648 1792 2369 2576 2884 2944 3296 3823 4738 5152 5768 5888 6592 7646 9476 10304 11536 13184 15292 16583 18952 20608 23072 26368 26761 30584 33166 37904 41216 46144 53522 61168 66332 75808 87929 92288 107044 122336 132664 151616 175858 184576 214088 244672 265328 303232 351716 393769 428176 489344 530656 606464 615503 703432 787538 856352 978688 1061312 1231006 1406864 1575076 1712704 2122624 2462012 2756383 2813728 3150152 3425408 4245248 4924024 5512766 5627456 6300304 6850816 9056687 9848048 11025532 11254912 12600608 18113374 19696096 22051064 22509824 25201216 36226748 39392192 44102128 50402432 63396809 72453496 78784384 88204256 100804864 126793618 144906992 157568768 176408512 253587236 289813984 352817024 507174472 579627968 705634048 1014348944 1159255936 2028697888 2318511872 4057395776 8114791552 16229583104