| Base | Representation |
|---|---|
| bin | 11000011000000011001100… |
| … | …010111100001000111000000 |
| 3 | 112001120202221101122222112000 |
| 4 | 120120003030113201013000 |
| 5 | 103022430000440101102 |
| 6 | 1020001400442504000 |
| 7 | 31403235654150420 |
| oct | 3030031427410700 |
| 9 | 461522841588460 |
| 10 | 107205812425152 |
| 11 | 3118280329a771 |
| 12 | 10035255805000 |
| 13 | 47a860703285c |
| 14 | 1c68b0906c480 |
| 15 | c5da0887801c |
| hex | 6180cc5e11c0 |
107205812425152 has 448 divisors, whose sum is σ = 363437921433600. Its totient is φ = 30355074293760.
The previous prime is 107205812425121. The next prime is 107205812425207. The reversal of 107205812425152 is 251524218502701.
107205812425152 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 0 + 5 + 8 + 124 + 2 + 515 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (448).
It is a super-2 number, since 2×1072058124251522 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 107205812425098 and 107205812425107.
It is a congruent number.
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 63 ways as a sum of consecutive naturals, for example, 650718724 + ... + 650883452.
Almost surely, 2107205812425152 is an apocalyptic number.
107205812425152 is a gapful number since it is divisible by the number (12) 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 107205812425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181718960716800).
107205812425152 is an abundant number, since it is smaller than the sum of its proper divisors (256232109008448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107205812425152 is a wasteful number, since it uses less digits than its factorization.
107205812425152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 165241 (or 165225 counting only the distinct ones).
The product of its (nonzero) digits is 448000, while the sum is 45.
The spelling of 107205812425152 in words is "one hundred seven trillion, two hundred five billion, eight hundred twelve million, four hundred twenty-five thousand, one hundred fifty-two".
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