| Base | Representation |
|---|---|
| bin | 10011100001000010101011… |
| … | …10100111001100000000000 |
| 3 | 12121221210122022120020122000 |
| 4 | 21300201111310321200000 |
| 5 | 21111122002301331000 |
| 6 | 231135403442544000 |
| 7 | 12016430102550060 |
| oct | 1160412564714000 |
| 9 | 177853568506560 |
| 10 | 42916753152000 |
| 11 | 12746990353812 |
| 12 | 4991679968000 |
| 13 | 1ac4056400510 |
| 14 | a852793353a0 |
| 15 | 4e656addd000 |
| hex | 270855d39800 |
42916753152000 has 4608 divisors, whose sum is σ = 204615374745600. Its totient is φ = 8639447040000.
The previous prime is 42916753151933. The next prime is 42916753152043. The reversal of 42916753152000 is 25135761924.
42916753152000 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 67 + 531 + 52 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (4608).
It is a super-2 number, since 2×429167531520002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 383 ways as a sum of consecutive naturals, for example, 604461311965 + ... + 604461312035.
It is an arithmetic number, because the mean of its divisors is an integer number (44404378200).
Almost surely, 242916753152000 is an apocalyptic number.
42916753152000 is a gapful number since it is divisible by the number (40) 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 42916753152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102307687372800).
42916753152000 is an abundant number, since it is smaller than the sum of its proper divisors (161698621593600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42916753152000 is a wasteful number, since it uses less digits than its factorization.
42916753152000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 199 (or 132 counting only the distinct ones).
The product of its (nonzero) digits is 453600, while the sum is 45.
The spelling of 42916753152000 in words is "forty-two trillion, nine hundred sixteen billion, seven hundred fifty-three million, one hundred fifty-two thousand".
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