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99128107728 = 243213331159979
BaseRepresentation
bin101110001010001111…
…1101110001011010000
3100110212102000121220100
41130110133232023100
53111003243421403
6113312215212400
710106326004346
oct1342437561320
9313772017810
1099128107728
1139049261581
1217265977100
139469ca7960
144b2533d996
1528a29112a3
hex17147ee2d0

99128107728 has 120 divisors (see below), whose sum is σ = 299665577120. Its totient is φ = 30408618240.

The previous prime is 99128107681. The next prime is 99128107753. The reversal of 99128107728 is 82770182199.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539643 + ... + 699621.

Almost surely, 299128107728 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 99128107728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149832788560).

99128107728 is an abundant number, since it is smaller than the sum of its proper divisors (200537469392).

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

99128107728 is a wasteful number, since it uses less digits than its factorization.

99128107728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160337 (or 160328 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 99128107728 in words is "ninety-nine billion, one hundred twenty-eight million, one hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 331 468 624 662 936 993 1324 1872 1986 2648 2979 3972 4303 5296 5958 7944 8606 11916 12909 15888 17212 23832 25818 34424 38727 47664 51636 68848 77454 103272 154908 159979 206544 309816 319958 479937 619632 639916 959874 1279832 1439811 1919748 2079727 2559664 2879622 3839496 4159454 5759244 6239181 7678992 8318908 11518488 12478362 16637816 18717543 23036976 24956724 33275632 37435086 49913448 52953049 74870172 99826896 105906098 149740344 158859147 211812196 299480688 317718294 423624392 476577441 635436588 688389637 847248784 953154882 1270873176 1376779274 1906309764 2065168911 2541746352 2753558548 3812619528 4130337822 5507117096 6195506733 7625239056 8260675644 11014234192 12391013466 16521351288 24782026932 33042702576 49564053864 99128107728