Search a number
-
+
113535034211544 = 2331135696246379
BaseRepresentation
bin11001110100001001101111…
…011000100011110011011000
3112212222211202202002010011020
4121310021233120203303120
5104340124222224232134
61041245135155202440
732625430662525621
oct3164115730436330
9485884682063136
10113535034211544
11331a2a34a62000
1210897a252a6420
134b474002909ca
1420071a6d10a48
15d1d490626b49
hex67426f623cd8

113535034211544 has 128 divisors (see below), whose sum is σ = 312748750944000. Its totient is φ = 34344085374720.

The previous prime is 113535034211483. The next prime is 113535034211591. The reversal of 113535034211544 is 445112430535311.

113535034211544 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 113535034211496 and 113535034211505.

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, 15052947 + ... + 21299325.

It is an arithmetic number, because the mean of its divisors is an integer number (2443349616750).

Almost surely, 2113535034211544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113535034211544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156374375472000).

113535034211544 is an abundant number, since it is smaller than the sum of its proper divisors (199213716732456).

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

113535034211544 is a wasteful number, since it uses less digits than its factorization.

113535034211544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246990 (or 6246964 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

Adding to 113535034211544 its reverse (445112430535311), we get a palindrome (558647464746855).

The spelling of 113535034211544 in words is "one hundred thirteen trillion, five hundred thirty-five billion, thirty-four million, two hundred eleven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 569 726 968 1138 1331 1452 1707 2276 2662 2904 3414 3993 4552 5324 6259 6828 7986 10648 12518 13656 15972 18777 25036 31944 37554 50072 68849 75108 137698 150216 206547 275396 413094 550792 757339 826188 1514678 1652376 2272017 3029356 4544034 6058712 6246379 9088068 12492758 18176136 18739137 24985516 37478274 49971032 68710169 74956548 137420338 149913096 206130507 274840676 412261014 549681352 755811859 824522028 1511623718 1649044056 2267435577 3023247436 3554189651 4534871154 6046494872 7108379302 8313930449 9069742308 10662568953 14216758604 16627860898 18139484616 21325137906 24941791347 28433517208 33255721796 39096086161 42650275812 49883582694 66511443592 78192172322 85300551624 99767165388 117288258483 156384344644 199534330776 234576516966 312768689288 430056947771 469153033932 860113895542 938306067864 1290170843313 1720227791084 2580341686626 3440455582168 4730626425481 5160683373252 9461252850962 10321366746504 14191879276443 18922505701924 28383758552886 37845011403848 56767517105772 113535034211544