Search a number
-
+
11532136143560 = 235738397490543
BaseRepresentation
bin1010011111010000100011…
…1000001101101011001000
31111211110110101200122000012
42213310020320031223020
53002420303323043220
640305442403531052
72300112040602434
oct247641070155310
944743411618005
1011532136143560
11374682a23573a
121363009089a88
1365862536b196
142bc2307bb9c4
1514ee9d71cac5
hexa7d08e0dac8

11532136143560 has 128 divisors (see below), whose sum is σ = 26894133665280. Its totient is φ = 4448501710848.

The previous prime is 11532136143533. The next prime is 11532136143569. The reversal of 11532136143560 is 6534163123511.

It is not an unprimeable number, because it can be changed into a prime (11532136143569) 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, 23263649 + ... + 23754191.

It is an arithmetic number, because the mean of its divisors is an integer number (210110419260).

Almost surely, 211532136143560 is an apocalyptic number.

11532136143560 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 11532136143560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13447066832640).

11532136143560 is an abundant number, since it is smaller than the sum of its proper divisors (15361997521720).

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

11532136143560 is a wasteful number, since it uses less digits than its factorization.

11532136143560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490807 (or 490803 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 11532136143560 in words is "eleven trillion, five hundred thirty-two billion, one hundred thirty-six million, one hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 83 97 146 166 194 292 332 365 388 415 485 584 664 730 776 830 970 1460 1660 1940 2920 3320 3880 6059 7081 8051 12118 14162 16102 24236 28324 30295 32204 35405 40255 48472 56648 60590 64408 70810 80510 121180 141620 161020 242360 283240 322040 490543 587723 981086 1175446 1962172 2350892 2452715 2938615 3924344 4701784 4905430 5877230 9810860 11754460 19621720 23508920 35809639 40715069 47582671 71619278 81430138 95165342 143238556 162860276 179048195 190330684 203575345 237913355 286477112 325720552 358096390 380661368 407150690 475826710 716192780 814301380 951653420 1432385560 1628602760 1903306840 2972200037 3473534983 3949361693 5944400074 6947069966 7898723386 11888800148 13894139932 14861000185 15797446772 17367674915 19746808465 23777600296 27788279864 29722000370 31594893544 34735349830 39493616930 59444000740 69470699660 78987233860 118888001480 138941399320 157974467720 288303403589 576606807178 1153213614356 1441517017945 2306427228712 2883034035890 5766068071780 11532136143560