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113332621248 = 26327113122659
BaseRepresentation
bin110100110001100100…
…1101000111111000000
3101211112100022200021200
41221203021220333000
53324101122334443
6124021515221200
711121326246250
oct1514311507700
9354470280250
10113332621248
1144078345850
1219b6aa47800
13a8c1a91342
1456b1a51960
152e34990dd3
hex1a63268fc0

113332621248 has 504 divisors, whose sum is σ = 418648164480. Its totient is φ = 28476748800.

The previous prime is 113332621223. The next prime is 113332621289. The reversal of 113332621248 is 842126233311.

113332621248 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 3 + 2 + 621 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42620943 + ... + 42623601.

It is an arithmetic number, because the mean of its divisors is an integer number (830651120).

Almost surely, 2113332621248 is an apocalyptic number.

113332621248 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 113332621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209324082240).

113332621248 is an abundant number, since it is smaller than the sum of its proper divisors (305315543232).

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

113332621248 is a wasteful number, since it uses less digits than its factorization.

113332621248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2713 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 113332621248 its reverse (842126233311), we get a palindrome (955458854559).

The spelling of 113332621248 in words is "one hundred thirteen billion, three hundred thirty-two million, six hundred twenty-one thousand, two hundred forty-eight".