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128749514200 = 235237157110819
BaseRepresentation
bin111011111101000010…
…0011010110111011000
3110022022202220222120221
41313322010122313120
54102134333423300
6135051404525424
712205350546106
oct1677204326730
9408282828527
10128749514200
114a66982069a
1220b51b50874
13c1aaab4ac8
146335396c76
1535381a431a
hex1dfa11add8

128749514200 has 96 divisors (see below), whose sum is σ = 309393925200. Its totient is φ = 49788311040.

The previous prime is 128749514197. The next prime is 128749514203. The reversal of 128749514200 is 2415947821.

It is an interprime number because it is at equal distance from previous prime (128749514197) and next prime (128749514203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128749514203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106391 + ... + 1217209.

Almost surely, 2128749514200 is an apocalyptic number.

128749514200 is a gapful number since it is divisible by the number (10) 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 128749514200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154696962600).

128749514200 is an abundant number, since it is smaller than the sum of its proper divisors (180644411000).

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

128749514200 is a wasteful number, since it uses less digits than its factorization.

128749514200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111029 (or 111020 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 128749514200 in words is "one hundred twenty-eight billion, seven hundred forty-nine million, five hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 157 185 200 296 314 370 628 740 785 925 1256 1480 1570 1850 3140 3700 3925 5809 6280 7400 7850 11618 15700 23236 29045 31400 46472 58090 110819 116180 145225 221638 232360 290450 443276 554095 580900 886552 1108190 1161800 2216380 2770475 4100303 4432760 5540950 8200606 11081900 16401212 17398583 20501515 22163800 32802424 34797166 41003030 69594332 82006060 86992915 102507575 139188664 164012120 173985830 205015150 347971660 410030300 434964575 643747571 695943320 820060600 869929150 1287495142 1739858300 2574990284 3218737855 3479716600 5149980568 6437475710 12874951420 16093689275 25749902840 32187378550 64374757100 128749514200