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128752105760 = 25517117140423
BaseRepresentation
bin111011111101000111…
…0010011100100100000
3110022022221210122112122
41313322032103210200
54102141014341020
6135051540243412
712205411561505
oct1677216234440
9408287718478
10128752105760
114a670230783
1220b529a0568
13c1ab4b1585
14633586d4ac
153538517125
hex1dfa393920

128752105760 has 96 divisors (see below), whose sum is σ = 322352618112. Its totient is φ = 48428789760.

The previous prime is 128752105733. The next prime is 128752105763. The reversal of 128752105760 is 67501257821.

It is not an unprimeable number, because it can be changed into a prime (128752105763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3164909 + ... + 3205331.

It is an arithmetic number, because the mean of its divisors is an integer number (3357839772).

Almost surely, 2128752105760 is an apocalyptic number.

128752105760 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 128752105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161176309056).

128752105760 is an abundant number, since it is smaller than the sum of its proper divisors (193600512352).

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

128752105760 is a wasteful number, since it uses less digits than its factorization.

128752105760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41626 (or 41618 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 44.

The spelling of 128752105760 in words is "one hundred twenty-eight billion, seven hundred fifty-two million, one hundred five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1171 1360 2342 2720 4684 5855 9368 11710 18736 19907 23420 37472 39814 40423 46840 79628 80846 93680 99535 159256 161692 187360 199070 202115 318512 323384 398140 404230 637024 646768 687191 796280 808460 1293536 1374382 1592560 1616920 2748764 3185120 3233840 3435955 5497528 6467680 6871910 10995056 13743820 21990112 27487640 47335333 54975280 94670666 109950560 189341332 236676665 378682664 473353330 757365328 804700661 946706660 1514730656 1609401322 1893413320 3218802644 3786826640 4023503305 6437605288 7573653280 8047006610 12875210576 16094013220 25750421152 32188026440 64376052880 128752105760