Search a number
-
+
113262780256608 = 25322715713308369
BaseRepresentation
bin11001110000001100001011…
…110010001001000101100000
3112212000211000220020012212210
4121300030023302021011200
5104321144133221202413
61040520111500122120
732566652165224023
oct3160141362110540
9485024026205783
10113262780256608
11330a8525778064
1210853103b36340
134b27832884258
141dd7d3ab331ba
15d16358c683c3
hex67030bc89160

113262780256608 has 96 divisors (see below), whose sum is σ = 298814730963840. Its totient is φ = 37564004280320.

The previous prime is 113262780256603. The next prime is 113262780256651. The reversal of 113262780256608 is 806652087262311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113262780256603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32581048 + ... + 35889416.

It is an arithmetic number, because the mean of its divisors is an integer number (3112653447540).

Almost surely, 2113262780256608 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 113262780256608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149407365481920).

113262780256608 is an abundant number, since it is smaller than the sum of its proper divisors (185551950707232).

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

113262780256608 is a wasteful number, since it uses less digits than its factorization.

113262780256608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310180 (or 3310172 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 113262780256608 in words is "one hundred thirteen trillion, two hundred sixty-two billion, seven hundred eighty million, two hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 681 908 1362 1571 1816 2724 3142 3632 4713 5448 6284 7264 9426 10896 12568 18852 21792 25136 37704 50272 75408 150816 356617 713234 1069851 1426468 2139702 2852936 3308369 4279404 5705872 6616738 8558808 9925107 11411744 13233476 17117616 19850214 26466952 34235232 39700428 52933904 79400856 105867808 158801712 317603424 750999763 1501999526 2252999289 3003999052 4505998578 5197447699 6007998104 9011997156 10394895398 12015996208 15592343097 18023994312 20789790796 24031992416 31184686194 36047988624 41579581592 62369372388 72095977248 83159163184 124738744776 166318326368 249477489552 498954979104 1179820627673 2359641255346 3539461883019 4719282510692 7078923766038 9438565021384 14157847532076 18877130042768 28315695064152 37754260085536 56631390128304 113262780256608