Base | Representation |
---|---|
bin | 101100110110111000… |
… | …1110011010010000000 |
3 | 100012122110212110222200 |
4 | 1121231301303102000 |
5 | 3034241222132120 |
6 | 112130500433200 |
7 | 6650113301400 |
oct | 1315561632200 |
9 | 305573773880 |
10 | 96331052160 |
11 | 37943405302 |
12 | 168050a8800 |
13 | 911266b9a5 |
14 | 493ba84800 |
15 | 278c0a8e90 |
hex | 166dc73480 |
96331052160 has 864 divisors, whose sum is σ = 411401140020. Its totient is φ = 20705771520.
The previous prime is 96331052159. The next prime is 96331052173. The reversal of 96331052160 is 6125013369.
96331052160 is a `hidden beast` number, since 9 + 63 + 3 + 10 + 521 + 60 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 87128870976 + 9202181184 = 295176^2 + 95928^2 .
It is a super-4 number, since 4×963310521604 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 107 ways as a sum of consecutive naturals, for example, 81566770 + ... + 81567950.
Almost surely, 296331052160 is an apocalyptic number.
96331052160 is a gapful number since it is divisible by the number (90) 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 96331052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205700570010).
96331052160 is an abundant number, since it is smaller than the sum of its proper divisors (315070087860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
96331052160 is a wasteful number, since it uses less digits than its factorization.
96331052160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1254 (or 1215 counting only the distinct ones).
The product of its (nonzero) digits is 29160, while the sum is 36.
The spelling of 96331052160 in words is "ninety-six billion, three hundred thirty-one million, fifty-two thousand, one hundred sixty".
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