| Base | Representation |
|---|---|
| bin | 111100010100111000010… |
| … | …010110001110001000000 |
| 3 | 112200022111010222122211100 |
| 4 | 330110320102301301000 |
| 5 | 1020410130444342133 |
| 6 | 12452242355414400 |
| 7 | 605336350426500 |
| oct | 74247022616100 |
| 9 | 15608433878740 |
| 10 | 4145587887168 |
| 11 | 1359152318082 |
| 12 | 56b538bb4400 |
| 13 | 240c09263730 |
| 14 | 10490cb41a00 |
| 15 | 72c8255be13 |
| hex | 3c5384b1c40 |
4145587887168 has 1008 divisors, whose sum is σ = 15581300507136. Its totient is φ = 1042562949120.
The previous prime is 4145587887157. The next prime is 4145587887197. The reversal of 4145587887168 is 8617887855414.
4145587887168 is a `hidden beast` number, since 4 + 1 + 4 + 558 + 7 + 8 + 8 + 7 + 1 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 4145587887096 and 4145587887105.
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 143 ways as a sum of consecutive naturals, for example, 3907245358 + ... + 3907246418.
It is an arithmetic number, because the mean of its divisors is an integer number (15457639392).
Almost surely, 24145587887168 is an apocalyptic number.
4145587887168 is a gapful number since it is divisible by the number (48) 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 4145587887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790650253568).
4145587887168 is an abundant number, since it is smaller than the sum of its proper divisors (11435712619968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4145587887168 is a wasteful number, since it uses less digits than its factorization.
4145587887168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1592 (or 1572 counting only the distinct ones).
The product of its digits is 481689600, while the sum is 72.
The spelling of 4145587887168 in words is "four trillion, one hundred forty-five billion, five hundred eighty-seven million, eight hundred eighty-seven thousand, one hundred sixty-eight".
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