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128831783680 = 2852393531193
BaseRepresentation
bin111011111111011111…
…0010000001100000000
3110022112111201201002201
41313332332100030000
54102321414034210
6135103504122544
712210400043605
oct1677676201400
9408474651081
10128831783680
114a7012019a6
1220b75606454
13c1c1b5b182
1463422906ac
15354050553a
hex1dfef90300

128831783680 has 144 divisors (see below), whose sum is σ = 311021907840. Its totient is φ = 51128827904.

The previous prime is 128831783623. The next prime is 128831783693. The reversal of 128831783680 is 86387138821.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 107989164 + ... + 107990356.

It is an arithmetic number, because the mean of its divisors is an integer number (2159874360).

Almost surely, 2128831783680 is an apocalyptic number.

128831783680 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 128831783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155510953920).

128831783680 is an abundant number, since it is smaller than the sum of its proper divisors (182190124160).

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

128831783680 is a wasteful number, since it uses less digits than its factorization.

128831783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 55.

The spelling of 128831783680 in words is "one hundred twenty-eight billion, eight hundred thirty-one million, seven hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 256 320 353 478 640 706 956 1193 1195 1280 1412 1765 1912 2386 2390 2824 3530 3824 4772 4780 5648 5965 7060 7648 9544 9560 11296 11930 14120 15296 19088 19120 22592 23860 28240 30592 38176 38240 45184 47720 56480 61184 76352 76480 84367 90368 95440 112960 152704 152960 168734 190880 225920 285127 305408 305920 337468 381760 421129 421835 451840 570254 674936 763520 842258 843670 1140508 1349872 1425635 1527040 1684516 1687340 2105645 2281016 2699744 2851270 3369032 3374680 4211290 4562032 5399488 5702540 6738064 6749360 8422580 9124064 10798976 11405080 13476128 13498720 16845160 18248128 21597952 22810160 26952256 26997440 33690320 36496256 45620320 53904512 53994880 67380640 72992512 91240640 100649831 107809024 107989760 134761280 182481280 201299662 269522560 364962560 402599324 503249155 539045120 805198648 1006498310 1610397296 2012996620 3220794592 4025993240 6441589184 8051986480 12883178368 16103972960 25766356736 32207945920 64415891840 128831783680