| Base | Representation |
|---|---|
| bin | 100010111111101110… |
| … | …0110000101100000000 |
| 3 | 21011222112001012122000 |
| 4 | 1011333130300230000 |
| 5 | 2212403042034140 |
| 6 | 54305154544000 |
| 7 | 5300232216150 |
| oct | 1057734605400 |
| 9 | 234875035560 |
| 10 | 75152689920 |
| 11 | 299658092a0 |
| 12 | 12694598000 |
| 13 | 7118b075b9 |
| 14 | 38cd0a2760 |
| 15 | 1e4cb78a30 |
| hex | 117f730b00 |
75152689920 has 1152 divisors, whose sum is σ = 343596072960. Its totient is φ = 15095808000.
The previous prime is 75152689901. The next prime is 75152689921. The reversal of 75152689920 is 2998625157.
75152689920 is a `hidden beast` number, since 7 + 5 + 1 + 526 + 8 + 99 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (75152689921) 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 127 ways as a sum of consecutive naturals, for example, 82494265 + ... + 82495175.
It is an arithmetic number, because the mean of its divisors is an integer number (298260480).
Almost surely, 275152689920 is an apocalyptic number.
75152689920 is a gapful number since it is divisible by the number (70) 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 75152689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171798036480).
75152689920 is an abundant number, since it is smaller than the sum of its proper divisors (268443383040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
75152689920 is a wasteful number, since it uses less digits than its factorization.
75152689920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 990 (or 970 counting only the distinct ones).
The product of its (nonzero) digits is 2721600, while the sum is 54.
The spelling of 75152689920 in words is "seventy-five billion, one hundred fifty-two million, six hundred eighty-nine thousand, nine hundred twenty".
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