Base | Representation |
---|---|
bin | 1010100111111111100110… |
… | …11100101011001100000100 |
3 | 10001201121122000021012112200 |
4 | 11103333303130223030010 |
5 | 11030300303321101424 |
6 | 121405243520514500 |
7 | 4631010616655031 |
oct | 523776334531404 |
9 | 101647560235480 |
10 | 23364411503364 |
11 | 7498878203918 |
12 | 275421a17ba30 |
13 | 100634032c629 |
14 | 5aabb49ba388 |
15 | 2a7b669488c9 |
hex | 153ff372b304 |
23364411503364 has 144 divisors (see below), whose sum is σ = 62750897956656. Its totient is φ = 7319628288000.
The previous prime is 23364411503351. The next prime is 23364411503383. The reversal of 23364411503364 is 46330511446332.
23364411503364 is a `hidden beast` number, since 2 + 3 + 36 + 44 + 11 + 503 + 3 + 64 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 5067901440000 + 18296510063364 = 2251200^2 + 4277442^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3397864 + ... + 7633760.
It is an arithmetic number, because the mean of its divisors is an integer number (435770124699).
Almost surely, 223364411503364 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 23364411503364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31375448978328).
23364411503364 is an abundant number, since it is smaller than the sum of its proper divisors (39386486453292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23364411503364 is a wasteful number, since it uses less digits than its factorization.
23364411503364 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4236086 (or 4236081 counting only the distinct ones).
The product of its (nonzero) digits is 1866240, while the sum is 45.
Adding to 23364411503364 its reverse (46330511446332), we get a palindrome (69694922949696).
The spelling of 23364411503364 in words is "twenty-three trillion, three hundred sixty-four billion, four hundred eleven million, five hundred three thousand, three hundred sixty-four".
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