Search a number
-
+
113497749640188 = 223326928571367417
BaseRepresentation
bin11001110011100111000001…
…000011001101001111111100
3112212212021112022120122111000
4121303213001003031033330
5104334021342401441223
61041220051341330300
732622641020100454
oct3163470103151774
9485767468518430
10113497749640188
1133189141878771
121089075a866990
134b43a3a967674
14200546b230d64
15d1c50c221543
hex6739c10cd3fc

113497749640188 has 96 divisors (see below), whose sum is σ = 295450896686400. Its totient is φ = 37678721246208.

The previous prime is 113497749640169. The next prime is 113497749640351. The reversal of 113497749640188 is 881046947794311.

113497749640188 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 97 + 7 + 496 + 40 + 1 + 8 + 8 = 666.

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, 82317856 + ... + 83685272.

It is an arithmetic number, because the mean of its divisors is an integer number (3077613507150).

Almost surely, 2113497749640188 is an apocalyptic number.

113497749640188 is a gapful number since it is divisible by the number (18) 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 113497749640188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147725448343200).

113497749640188 is an abundant number, since it is smaller than the sum of its proper divisors (181953147046212).

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

113497749640188 is a wasteful number, since it uses less digits than its factorization.

113497749640188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370556 (or 1370548 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 113497749640188 in words is "one hundred thirteen trillion, four hundred ninety-seven billion, seven hundred forty-nine million, six hundred forty thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 269 538 807 1076 1614 2421 2857 3228 4842 5714 7263 8571 9684 11428 14526 17142 25713 29052 34284 51426 77139 102852 154278 308556 768533 1367417 1537066 2305599 2734834 3074132 4102251 4611198 5469668 6916797 8204502 9222396 12306753 13833594 16409004 20750391 24613506 27667188 36920259 41500782 49227012 73840518 83001564 147681036 367835173 735670346 1103505519 1471340692 2207011038 3310516557 3906710369 4414022076 6621033114 7813420738 9931549671 11720131107 13242066228 15626841476 19863099342 23440262214 35160393321 39726198684 46880524428 70320786642 105481179963 140641573284 210962359926 421924719852 1050905089261 2101810178522 3152715267783 4203620357044 6305430535566 9458145803349 12610861071132 18916291606698 28374437410047 37832583213396 56748874820094 113497749640188