Base | Representation |
---|---|
bin | 10001000101001011000010… |
… | …011101011110100000000000 |
3 | 100211222121122002211102012000 |
4 | 101011023002131132200000 |
5 | 34321300322032422143 |
6 | 423434403022304000 |
7 | 21552255102435420 |
oct | 2105130235364000 |
9 | 324877562742160 |
10 | 75122240514048 |
11 | 21a33188379102 |
12 | 851323a428000 |
13 | 32bbcc6200490 |
14 | 1479d15d3a480 |
15 | 8a417dc3dbd3 |
hex | 4452c275e800 |
75122240514048 has 3072 divisors, whose sum is σ = 299956724121600. Its totient is φ = 18036298874880.
The previous prime is 75122240514043. The next prime is 75122240514067. The reversal of 75122240514048 is 84041504222157.
75122240514048 is a `hidden beast` number, since 7 + 5 + 1 + 222 + 405 + 14 + 0 + 4 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (3072).
It is a junction number, because it is equal to n+sod(n) for n = 75122240513994 and 75122240514012.
It is not an unprimeable number, because it can be changed into a prime (75122240514043) 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 255 ways as a sum of consecutive naturals, for example, 226955409243 + ... + 226955409573.
It is an arithmetic number, because the mean of its divisors is an integer number (97642162800).
Almost surely, 275122240514048 is an apocalyptic number.
75122240514048 is a gapful number since it is divisible by the number (78) 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 75122240514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149978362060800).
75122240514048 is an abundant number, since it is smaller than the sum of its proper divisors (224834483607552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
75122240514048 is a wasteful number, since it uses less digits than its factorization.
75122240514048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 495 (or 469 counting only the distinct ones).
The product of its (nonzero) digits is 716800, while the sum is 45.
The spelling of 75122240514048 in words is "seventy-five trillion, one hundred twenty-two billion, two hundred forty million, five hundred fourteen thousand, forty-eight".
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