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255731131580 = 225171816136779
BaseRepresentation
bin1110111000101011000…
…0110110010010111100
3220110002100020111122212
43232022300312102330
513142214132202310
6313251541355552
724322153516121
oct3561260662274
9813070214585
10255731131580
1199500614231
124168ba08bb8
131b166539c02
14c53da32748
1569bb042205
hex3b8ac364bc

255731131580 has 96 divisors (see below), whose sum is σ = 572784488640. Its totient is φ = 95573053440.

The previous prime is 255731131559. The next prime is 255731131637. The reversal of 255731131580 is 85131137552.

255731131580 is digitally balanced in base 3, 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, 37720631 + ... + 37727409.

It is an arithmetic number, because the mean of its divisors is an integer number (5966505090).

Almost surely, 2255731131580 is an apocalyptic number.

255731131580 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 255731131580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286392244320).

255731131580 is an abundant number, since it is smaller than the sum of its proper divisors (317053357060).

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

255731131580 is a wasteful number, since it uses less digits than its factorization.

255731131580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7599 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 41.

The spelling of 255731131580 in words is "two hundred fifty-five billion, seven hundred thirty-one million, one hundred thirty-one thousand, five hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 181 340 362 613 724 905 1226 1810 2452 3065 3077 3620 6130 6154 6779 10421 12260 12308 13558 15385 20842 27116 30770 33895 41684 52105 61540 67790 104210 110953 115243 135580 208420 221906 230486 443812 460972 554765 576215 1109530 1152430 1226999 1886201 2219060 2304860 2453998 3772402 4155527 4907996 6134995 7544804 8311054 9431005 12269990 16622108 18862010 20777635 20858983 24539980 37724020 41555270 41717966 70643959 83110540 83435932 104294915 141287918 208589830 282575836 353219795 417179660 706439590 752150387 1412879180 1504300774 3008601548 3760751935 7521503870 12786556579 15043007740 25573113158 51146226316 63932782895 127865565790 255731131580