Base | Representation |
---|---|
bin | 10110101000110000… |
… | …01111101000000000 |
3 | 1011100222010101222102 |
4 | 23110120033220000 |
5 | 144342140403330 |
6 | 5325534125532 |
7 | 610110206225 |
oct | 132430175000 |
9 | 34328111872 |
10 | 12153059840 |
11 | 51770a3809 |
12 | 24320508a8 |
13 | 11b8a9538c |
14 | 8340a194c |
15 | 4b1e06945 |
hex | 2d460fa00 |
12153059840 has 160 divisors (see below), whose sum is σ = 29668636800. Its totient is φ = 4773888000.
The previous prime is 12153059833. The next prime is 12153059881. The reversal of 12153059840 is 4895035121.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (160).
It is a junction number, because it is equal to n+sod(n) for n = 12153059794 and 12153059803.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57597335 + ... + 57597545.
It is an arithmetic number, because the mean of its divisors is an integer number (185428980).
Almost surely, 212153059840 is an apocalyptic number.
12153059840 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 12153059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14834318400).
12153059840 is an abundant number, since it is smaller than the sum of its proper divisors (17515576960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12153059840 is a wasteful number, since it uses less digits than its factorization.
12153059840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 534 (or 518 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 38.
The spelling of 12153059840 in words is "twelve billion, one hundred fifty-three million, fifty-nine thousand, eight hundred forty".
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