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11263011540 = 223511213911161
BaseRepresentation
bin10100111110101001…
…11110101011010100
31002001221100021020120
422133110332223110
5141031312332130
65101341231540
7546052006224
oct123724765324
932057307216
1011263011540
11485a749300
122223b625b0
1310a6574591
1478bbb6084
1545dbe3910
hex29f53ead4

11263011540 has 144 divisors (see below), whose sum is σ = 34916521920. Its totient is φ = 2710540800.

The previous prime is 11263011533. The next prime is 11263011569. The reversal of 11263011540 is 4511036211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11263011540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003560 + ... + 1014720.

Almost surely, 211263011540 is an apocalyptic number.

11263011540 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 11263011540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17458260960).

11263011540 is an abundant number, since it is smaller than the sum of its proper divisors (23653510380).

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

11263011540 is a wasteful number, since it uses less digits than its factorization.

11263011540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11334 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11263011540 its reverse (4511036211), we get a palindrome (15774047751).

The spelling of 11263011540 in words is "eleven billion, two hundred sixty-three million, eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 139 165 220 242 278 330 363 417 484 556 605 660 695 726 834 1210 1390 1452 1529 1668 1815 2085 2420 2780 3058 3630 4170 4587 6116 7260 7645 8340 9174 11161 15290 16819 18348 22322 22935 30580 33483 33638 44644 45870 50457 55805 66966 67276 84095 91740 100914 111610 122771 133932 167415 168190 201828 223220 245542 252285 334830 336380 368313 491084 504570 613855 669660 736626 1009140 1227710 1350481 1473252 1551379 1841565 2455420 2700962 3102758 3683130 4051443 4654137 5401924 6205516 6752405 7366260 7756895 8102886 9308274 13504810 15513790 16205772 17065169 18616548 20257215 23270685 27009620 31027580 34130338 40514430 46541370 51195507 68260676 81028860 85325845 93082740 102391014 170651690 187716859 204782028 255977535 341303380 375433718 511955070 563150577 750867436 938584295 1023910140 1126301154 1877168590 2252602308 2815752885 3754337180 5631505770 11263011540