Search a number
-
+
18900565533240 = 23355917317154159
BaseRepresentation
bin1000100110000101000010…
…11111101010001000111000
32110220212122220112210200120
410103002201133222020320
54434131324234030430
6104110444441533240
73660343430162166
oct423024137521070
973825586483616
1018900565533240
116027759563596
1221530811a4220
13a71414727221
14494b13d28236
1522b9a8d95610
hex1130a17ea238

18900565533240 has 128 divisors (see below), whose sum is σ = 57666446208000. Its totient is φ = 4954406266368.

The previous prime is 18900565533203. The next prime is 18900565533277. The reversal of 18900565533240 is 4233556500981.

It is an interprime number because it is at equal distance from previous prime (18900565533203) and next prime (18900565533277).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 122527281 + ... + 122681439.

It is an arithmetic number, because the mean of its divisors is an integer number (450519111000).

Almost surely, 218900565533240 is an apocalyptic number.

18900565533240 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 18900565533240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28833223104000).

18900565533240 is an abundant number, since it is smaller than the sum of its proper divisors (38765880674760).

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

18900565533240 is a wasteful number, since it uses less digits than its factorization.

18900565533240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171549 (or 171545 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 18900565533240 in words is "eighteen trillion, nine hundred billion, five hundred sixty-five million, five hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 17317 34634 51951 69268 86585 103902 138536 154159 173170 207804 259755 308318 346340 415608 462477 519510 616636 692680 770795 924954 1021703 1039020 1233272 1541590 1849908 2043406 2078040 2312385 3065109 3083180 3699816 4086812 4624770 5108515 6130218 6166360 8173624 9095381 9249540 10217030 12260436 15325545 18190762 18499080 20434060 24520872 27286143 30651090 36381524 40868120 45476905 54572286 61302180 72763048 90953810 109144572 122604360 136430715 181907620 218289144 272861430 363815240 545722860 1091445720 2669571403 5339142806 8008714209 10678285612 13347857015 16017428418 21356571224 26695714030 32034856836 40043571045 53391428060 64069713672 80087142090 106782856120 157504712777 160174284180 315009425554 320348568360 472514138331 630018851108 787523563885 945028276662 1260037702216 1575047127770 1890056553324 2362570691655 3150094255540 3780113106648 4725141383310 6300188511080 9450282766620 18900565533240