Search a number
-
+
6442102326360 = 23351811663178351
BaseRepresentation
bin101110110111110101100…
…1110001000010001011000
3211210212012012001200222210
41131233223032020101120
51321021411143420420
621411243322115120
71233266205166311
oct135575316102130
924725165050883
106442102326360
1120640978aa798
1288063304baa0
1337964547438c
14183b29853608
15b2891bde9e0
hex5dbeb388458

6442102326360 has 128 divisors (see below), whose sum is σ = 19444876738560. Its totient is φ = 1707365952000.

The previous prime is 6442102326349. The next prime is 6442102326389. The reversal of 6442102326360 is 636232012446.

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, 36031185 + ... + 36209535.

It is an arithmetic number, because the mean of its divisors is an integer number (151913099520).

Almost surely, 26442102326360 is an apocalyptic number.

6442102326360 is a gapful number since it is divisible by the number (60) 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 6442102326360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9722438369280).

6442102326360 is an abundant number, since it is smaller than the sum of its proper divisors (13002774412200).

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

6442102326360 is a wasteful number, since it uses less digits than its factorization.

6442102326360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180209 (or 180205 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 6442102326360 in words is "six trillion, four hundred forty-two billion, one hundred two million, three hundred twenty-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1663 1810 2172 2715 3326 3620 4344 4989 5430 6652 7240 8315 9978 10860 13304 16630 19956 21720 24945 33260 39912 49890 66520 99780 178351 199560 301003 356702 535053 602006 713404 891755 903009 1070106 1204012 1426808 1505015 1783510 1806018 2140212 2408024 2675265 3010030 3567020 3612036 4280424 4515045 5350530 6020060 7134040 7224072 9030090 10701060 12040120 18060180 21402120 32281531 36120360 64563062 96844593 129126124 161407655 193689186 258252248 296597713 322815310 387378372 484222965 593195426 645630620 774756744 889793139 968445930 1186390852 1291261240 1482988565 1779586278 1936891860 2372781704 2965977130 3559172556 3873783720 4448965695 5931954260 7118345112 8897931390 11863908520 17795862780 35591725560 53684186053 107368372106 161052558159 214736744212 268420930265 322105116318 429473488424 536841860530 644210232636 805262790795 1073683721060 1288420465272 1610525581590 2147367442120 3221051163180 6442102326360