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128367768840 = 233519127744089
BaseRepresentation
bin111011110001101010…
…0001011010100001000
3110021100011121022101220
41313203110023110020
54100344122100330
6134545450442040
712163034013633
oct1674324132410
9407304538356
10128367768840
114a493293763
1220a66133320
13c14999538c
1462da7c4c1a
1535148e9710
hex1de350b508

128367768840 has 128 divisors (see below), whose sum is σ = 405698544000. Its totient is φ = 32403621888.

The previous prime is 128367768803. The next prime is 128367768871. The reversal of 128367768840 is 48867763821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2889516 + ... + 2933604.

It is an arithmetic number, because the mean of its divisors is an integer number (3169519875).

Almost surely, 2128367768840 is an apocalyptic number.

128367768840 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 128367768840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202849272000).

128367768840 is an abundant number, since it is smaller than the sum of its proper divisors (277330775160).

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

128367768840 is a wasteful number, since it uses less digits than its factorization.

128367768840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45399 (or 45395 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 128367768840 in words is "one hundred twenty-eight billion, three hundred sixty-seven million, seven hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1277 2280 2554 3831 5108 6385 7662 10216 12770 15324 19155 24263 25540 30648 38310 44089 48526 51080 72789 76620 88178 97052 121315 132267 145578 153240 176356 194104 220445 242630 264534 291156 352712 363945 440890 485260 529068 582312 661335 727890 837691 881780 970520 1058136 1322670 1455780 1675382 1763560 2513073 2645340 2911560 3350764 4188455 5026146 5290680 6701528 8376910 10052292 12565365 16753820 20104584 25130730 33507640 50261460 56301653 100522920 112603306 168904959 225206612 281508265 337809918 450413224 563016530 675619836 844524795 1069731407 1126033060 1351239672 1689049590 2139462814 2252066120 3209194221 3378099180 4278925628 5348657035 6418388442 6756198360 8557851256 10697314070 12836776884 16045971105 21394628140 25673553768 32091942210 42789256280 64183884420 128367768840