Search a number
-
+
18805332131240 = 235171011491837657
BaseRepresentation
bin1000100011010011101010…
…01001000011110110101000
32110120202211221002201122112
410101221311021003312220
54431101310011144430
6103555014511341452
73650432442465644
oct421516511036650
973522757081575
1018805332131240
115aa0329809086
122138723821888
13a654485c5795
1449027bd6dc24
1522928335b195
hex111a75243da8

18805332131240 has 128 divisors (see below), whose sum is σ = 45548191188000. Its totient is φ = 6962511052800.

The previous prime is 18805332131213. The next prime is 18805332131249. The reversal of 18805332131240 is 4213123350881.

It can be written as a sum of positive squares in 16 ways, for example, as 8191719445924 + 10613612685316 = 2862118^2 + 3257854^2 .

It is not an unprimeable number, because it can be changed into a prime (18805332131249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9314492 + ... + 11152148.

Almost surely, 218805332131240 is an apocalyptic number.

18805332131240 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 18805332131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22774095594000).

18805332131240 is an abundant number, since it is smaller than the sum of its proper divisors (26742859056760).

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

18805332131240 is a wasteful number, since it uses less digits than its factorization.

18805332131240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837935 (or 1837931 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 18805332131240 in words is "eighteen trillion, eight hundred five billion, three hundred thirty-two million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 101 136 149 170 202 298 340 404 505 596 680 745 808 1010 1192 1490 1717 2020 2533 2980 3434 4040 5066 5960 6868 8585 10132 12665 13736 15049 17170 20264 25330 30098 34340 50660 60196 68680 75245 101320 120392 150490 255833 300980 511666 601960 1023332 1279165 1837657 2046664 2558330 3675314 5116660 7350628 9188285 10233320 14701256 18376570 31240169 36753140 62480338 73506280 124960676 156200845 185603357 249921352 273810893 312401690 371206714 547621786 624803380 742413428 928016785 1095243572 1249606760 1369054465 1484826856 1856033570 2190487144 2738108930 3155257069 3712067140 4654785181 5476217860 6310514138 7424134280 9309570362 10952435720 12621028276 15776285345 18619140724 23273925905 25242056552 27654900193 31552570690 37238281448 46547851810 55309800386 63105141380 93095703620 110619600772 126210282760 138274500965 186191407240 221239201544 276549001930 470133303281 553098003860 940266606562 1106196007720 1880533213124 2350666516405 3761066426248 4701333032810 9402666065620 18805332131240