Base | Representation |
---|---|
bin | 110111001001001000010010… |
… | …011101101001000010000000 |
3 | 1011210200200100010020211101200 |
4 | 313021020102131221002000 |
5 | 223241421310333033224 |
6 | 2215444041425301200 |
7 | 102040326011312541 |
oct | 6711102235510200 |
9 | 1153620303224350 |
10 | 242519933096064 |
11 | 70302142829808 |
12 | 23249ba2a94800 |
13 | a5426baab9b70 |
14 | 43c60552404c8 |
15 | 1d0877781e5c9 |
hex | dc9212769080 |
242519933096064 has 768 divisors, whose sum is σ = 812016092160000. Its totient is φ = 68841496829952.
The previous prime is 242519933096059. The next prime is 242519933096069. The reversal of 242519933096064 is 460690339915242.
242519933096064 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 19 + 9 + 3 + 3 + 0 + 9 + 606 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (242519933096059) and next prime (242519933096069).
It is a junction number, because it is equal to n+sod(n) for n = 242519933095992 and 242519933096010.
It is not an unprimeable number, because it can be changed into a prime (242519933096069) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2661294469 + ... + 2661385595.
It is an arithmetic number, because the mean of its divisors is an integer number (1057312620000).
Almost surely, 2242519933096064 is an apocalyptic number.
242519933096064 is a gapful number since it is divisible by the number (24) 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 242519933096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406008046080000).
242519933096064 is an abundant number, since it is smaller than the sum of its proper divisors (569496159063936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242519933096064 is a wasteful number, since it uses less digits than its factorization.
242519933096064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 91425 (or 91410 counting only the distinct ones).
The product of its (nonzero) digits is 75582720, while the sum is 63.
The spelling of 242519933096064 in words is "two hundred forty-two trillion, five hundred nineteen billion, nine hundred thirty-three million, ninety-six thousand, sixty-four".
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