| Base | Representation |
|---|---|
| bin | 111110010101110000011… |
| … | …000101111110010000000 |
| 3 | 120011112200002110011101100 |
| 4 | 332111300120233302000 |
| 5 | 1030142031242220342 |
| 6 | 13040005552134400 |
| 7 | 621335501404200 |
| oct | 76256030576200 |
| 9 | 16145602404340 |
| 10 | 4283967929472 |
| 11 | 1401903239000 |
| 12 | 592318237400 |
| 13 | 250c9032287a |
| 14 | 10b4b9162400 |
| 15 | 76680e3ae4c |
| hex | 3e57062fc80 |
4283967929472 has 1152 divisors, whose sum is σ = 16608872404800. Its totient is φ = 1053803520000.
The previous prime is 4283967929459. The next prime is 4283967929477. The reversal of 4283967929472 is 2749297693824.
4283967929472 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 9 + 67 + 92 + 9 + 472 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-3 number, since 3×42839679294723 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 4283967929472.
It is not an unprimeable number, because it can be changed into a prime (4283967929477) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1427511972 + ... + 1427514972.
Almost surely, 24283967929472 is an apocalyptic number.
4283967929472 is a gapful number since it is divisible by the number (42) 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 4283967929472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8304436202400).
4283967929472 is an abundant number, since it is smaller than the sum of its proper divisors (12324904475328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4283967929472 is a wasteful number, since it uses less digits than its factorization.
4283967929472 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3087 (or 3043 counting only the distinct ones).
The product of its digits is 658409472, while the sum is 72.
The spelling of 4283967929472 in words is "four trillion, two hundred eighty-three billion, nine hundred sixty-seven million, nine hundred twenty-nine thousand, four hundred seventy-two".
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