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113339578848 = 253192321011163
BaseRepresentation
bin110100110001110010…
…0001011100111100000
3101211112211102011022120
41221203210023213200
53324104413010343
6124022324304240
711121442344636
oct1514344134740
9354484364276
10113339578848
1144081268131
1219b71242080
13a8c3359172
1456b2943356
152e353b7683
hex1a6390b9e0

113339578848 has 288 divisors, whose sum is σ = 330909183360. Its totient is φ = 33867187200.

The previous prime is 113339578843. The next prime is 113339578853. The reversal of 113339578848 is 848875933311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113339578843) and next prime (113339578853).

It is a junction number, because it is equal to n+sod(n) for n = 113339578791 and 113339578800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113339578843) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 97453915 + ... + 97455077.

It is an arithmetic number, because the mean of its divisors is an integer number (1148990220).

Almost surely, 2113339578848 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 113339578848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165454591680).

113339578848 is an abundant number, since it is smaller than the sum of its proper divisors (217569604512).

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

113339578848 is a wasteful number, since it uses less digits than its factorization.

113339578848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1311 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The spelling of 113339578848 in words is "one hundred thirteen billion, three hundred thirty-nine million, five hundred seventy-eight thousand, eight hundred forty-eight".