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113822902752 = 25313811112459
BaseRepresentation
bin110101000000001011…
…1111010100111100000
3101212210111212120001220
41222000113322213200
53331102130342002
6124142311455040
711136431465346
oct1520027724740
9355714776056
10113822902752
11442aa074579
121a087087480
13a96c522a40
14571abd7996
152e62a397bc
hex1a805fa9e0

113822902752 has 96 divisors (see below), whose sum is σ = 322168210560. Its totient is φ = 34978936320.

The previous prime is 113822902741. The next prime is 113822902759. The reversal of 113822902752 is 257209228311.

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 (113822902759) 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 15 ways as a sum of consecutive naturals, for example, 955899 + ... + 1068357.

It is an arithmetic number, because the mean of its divisors is an integer number (3355918860).

Almost surely, 2113822902752 is an apocalyptic number.

113822902752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 337376×337377.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113822902752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161084105280).

113822902752 is an abundant number, since it is smaller than the sum of its proper divisors (208345307808).

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

113822902752 is a wasteful number, since it uses less digits than its factorization.

113822902752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113296 (or 113288 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 113822902752 in words is "one hundred thirteen billion, eight hundred twenty-two million, nine hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 811 1248 1622 2433 3244 4866 6488 9732 10543 12976 19464 21086 25952 31629 38928 42172 63258 77856 84344 112459 126516 168688 224918 253032 337376 337377 449836 506064 674754 899672 1012128 1349508 1461967 1799344 2699016 2923934 3598688 4385901 5398032 5847868 8771802 10796064 11695736 17543604 23391472 35087208 46782944 70174416 91204249 140348832 182408498 273612747 364816996 547225494 729633992 1094450988 1185655237 1459267984 2188901976 2371310474 2918535968 3556965711 4377803952 4742620948 7113931422 8755607904 9485241896 14227862844 18970483792 28455725688 37940967584 56911451376 113822902752