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128200814688 = 253538923181
BaseRepresentation
bin111011101100101011…
…1010011000001100000
3110020220112110011100210
41313121113103001200
54100023402032223
6134521124214120
712155635642062
oct1673127230140
9406815404323
10128200814688
114a408021621
1220a1a23a340
13c12120b53b
1462c2565732
153504e1b893
hex1dd95d3060

128200814688 has 144 divisors (see below), whose sum is σ = 346881555216. Its totient is φ = 41443184640.

The previous prime is 128200814657. The next prime is 128200814701. The reversal of 128200814688 is 886418002821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40300458 + ... + 40303638.

It is an arithmetic number, because the mean of its divisors is an integer number (2408899689).

Almost surely, 2128200814688 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 128200814688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173440777608).

128200814688 is an abundant number, since it is smaller than the sum of its proper divisors (218680740528).

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

128200814688 is an equidigital number, since it uses as much as digits as its factorization.

128200814688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The spelling of 128200814688 in words is "one hundred twenty-eight billion, two hundred million, eight hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 89 96 106 159 178 212 267 318 356 424 534 636 712 848 1068 1272 1424 1696 2136 2544 2848 3181 4272 4717 5088 6362 7921 8544 9434 9543 12724 14151 15842 18868 19086 23763 25448 28302 31684 37736 38172 47526 50896 56604 63368 75472 76344 95052 101792 113208 126736 150944 152688 168593 190104 226416 253472 283109 305376 337186 380208 419813 452832 505779 566218 674372 760416 839626 849327 1011558 1132436 1259439 1348744 1679252 1698654 2023116 2264872 2518878 2697488 3358504 3397308 4046232 4529744 5037756 5394976 6717008 6794616 8092464 9059488 10075512 13434016 13589232 15004777 16184928 20151024 25196701 27178464 30009554 40302048 45014331 50393402 60019108 75590103 90028662 100786804 120038216 151180206 180057324 201573608 240076432 302360412 360114648 403147216 480152864 604720824 720229296 806294432 1209441648 1335425153 1440458592 2418883296 2670850306 4006275459 5341700612 8012550918 10683401224 16025101836 21366802448 32050203672 42733604896 64100407344 128200814688