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113664210660 = 2234571113292417
BaseRepresentation
bin110100111011011101…
…0100011011011100100
3101212101110021011110000
41221312322203123210
53330241014220120
6124114442301300
711132463564240
oct1516672433344
9355343234400
10113664210660
1144228535890
121a041ab7830
13a94569c6b0
145703ac9420
152e53b3e990
hex1a76ea36e4

113664210660 has 960 divisors, whose sum is σ = 495463288320. Its totient is φ = 21041233920.

The previous prime is 113664210619. The next prime is 113664210677. The reversal of 113664210660 is 66012466311.

It is a happy number.

113664210660 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 642 + 1 + 0 + 6 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 47025772 + ... + 47028188.

It is an arithmetic number, because the mean of its divisors is an integer number (516107592).

Almost surely, 2113664210660 is an apocalyptic number.

113664210660 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 113664210660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247731644160).

113664210660 is an abundant number, since it is smaller than the sum of its proper divisors (381799077660).

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

113664210660 is a wasteful number, since it uses less digits than its factorization.

113664210660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 113664210660 its reverse (66012466311), we get a palindrome (179676676971).

The spelling of 113664210660 in words is "one hundred thirteen billion, six hundred sixty-four million, two hundred ten thousand, six hundred sixty".