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256316220053720 = 235292153941310903
BaseRepresentation
bin111010010001111001000101…
…001111110001100011011000
31020121112120222002011000002222
4322101321011033301203120
5232043441104313204340
62305050013531043212
7104663143606462031
oct7221710517614330
91217476862130088
10256316220053720
117474110a085562
12248b79735a0508
13b0036923b2768
144741ab2413a88
151e9758e3078b5
hexe91e453f18d8

256316220053720 has 128 divisors (see below), whose sum is σ = 596993358844800. Its totient is φ = 98925528059904.

The previous prime is 256316220053683. The next prime is 256316220053759. The reversal of 256316220053720 is 27350022613652.

256316220053720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23508773789 + ... + 23508784691.

It is an arithmetic number, because the mean of its divisors is an integer number (4664010615975).

Almost surely, 2256316220053720 is an apocalyptic number.

256316220053720 is a gapful number since it is divisible by the number (20) 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 256316220053720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298496679422400).

256316220053720 is an abundant number, since it is smaller than the sum of its proper divisors (340677138791080).

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

256316220053720 is a wasteful number, since it uses less digits than its factorization.

256316220053720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22509 (or 22505 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 44.

The spelling of 256316220053720 in words is "two hundred fifty-six trillion, three hundred sixteen billion, two hundred twenty million, fifty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2153 4306 8612 9413 10765 10903 17224 18826 21530 21806 37652 43060 43612 47065 54515 62437 75304 86120 87224 94130 109030 124874 188260 218060 249748 272977 312185 316187 376520 436120 499496 545954 624370 632374 1091908 1248740 1264748 1364885 1580935 2183816 2497480 2529496 2729770 3161870 5459540 6323740 10919080 12647480 20266189 23474159 40532378 46948318 81064756 93896636 101330945 102629939 117370795 162129512 187793272 202661890 205259878 234741590 405323780 410519756 469483180 513149695 587719481 680750611 810647560 821039512 938966360 1026299390 1175438962 1361501222 2052598780 2350877924 2723002444 2938597405 2976268231 3403753055 4105197560 4701755848 5446004888 5877194810 5952536462 6807506110 11754389620 11905072924 13615012220 14881341155 23508779240 23810145848 27230024440 29762682310 59525364620 119050729240 220962258667 441924517334 883849034668 1104811293335 1767698069336 2209622586670 4419245173340 6407905501343 8838490346680 12815811002686 25631622005372 32039527506715 51263244010744 64079055013430 128158110026860 256316220053720