Search a number
-
+
104455135540 = 225721075871697
BaseRepresentation
bin110000101001000000…
…0101110000100110100
3100222121122202200021201
41201102000232010310
53202411003314130
6115552552022244
710355332000600
oct1412200560464
9328548680251
10104455135540
11403322233a8
12182b1991984
139b08808512
1450aca0c500
152ab5414bca
hex185202e134

104455135540 has 144 divisors (see below), whose sum is σ = 258144522048. Its totient is φ = 35397175296.

The previous prime is 104455135537. The next prime is 104455135549. The reversal of 104455135540 is 45531554401.

It is a self number, because there is not a number n which added to its sum of digits gives 104455135540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104455135549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61551972 + ... + 61553668.

It is an arithmetic number, because the mean of its divisors is an integer number (1792670292).

Almost surely, 2104455135540 is an apocalyptic number.

104455135540 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 104455135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129072261024).

104455135540 is an abundant number, since it is smaller than the sum of its proper divisors (153689386508).

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

104455135540 is a wasteful number, since it uses less digits than its factorization.

104455135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

Adding to 104455135540 its reverse (45531554401), we get a palindrome (149986689941).

The spelling of 104455135540 in words is "one hundred four billion, four hundred fifty-five million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 107 140 196 214 245 428 490 535 587 749 980 1070 1174 1498 1697 2140 2348 2935 2996 3394 3745 4109 5243 5870 6788 7490 8218 8485 10486 11740 11879 14980 16436 16970 20545 20972 23758 26215 28763 33940 41090 47516 52430 57526 59395 62809 82180 83153 104860 115052 118790 125618 143815 166306 181579 237580 251236 287630 314045 332612 363158 415765 439663 575260 628090 726316 831530 879326 907895 996139 1256180 1271053 1663060 1758652 1815790 1992278 2198315 2542106 3077641 3631580 3984556 4396630 4980695 5084212 6155282 6355265 6972973 8793260 8897371 9961390 12310564 12710530 13945946 15388205 17794742 19922780 25421060 27891892 30776410 34864865 35589484 44486855 48810811 61552820 69729730 88973710 97621622 106586873 139459460 177947420 195243244 213173746 244054055 426347492 488108110 532934365 746108111 976216220 1065868730 1492216222 2131737460 2984432444 3730540555 5222756777 7461081110 10445513554 14922162220 20891027108 26113783885 52227567770 104455135540