| Base | Representation |
|---|---|
| bin | 10101111101001100001000… |
| … | …01010001010110111000000 |
| 3 | 20022221201010201212202100000 |
| 4 | 22332212010022022313000 |
| 5 | 22312022410311222033 |
| 6 | 250404230312200000 |
| 7 | 13112153411643000 |
| oct | 1276460412126700 |
| 9 | 208851121782300 |
| 10 | 48281944632768 |
| 11 | 14425292045a00 |
| 12 | 54b9445699000 |
| 13 | 20c2c77472872 |
| 14 | bccc03d7a000 |
| 15 | 58adce19ca13 |
| hex | 2be98428adc0 |
48281944632768 has 4032 divisors, whose sum is σ = 201468280832000. Its totient is φ = 11406944102400.
The previous prime is 48281944632697. The next prime is 48281944632773. The reversal of 48281944632768 is 86723644918284.
48281944632768 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 1 + 94 + 463 + 2 + 76 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (4032).
It is a super-2 number, since 2×482819446327682 (a number of 28 digits) contains 22 as substring.
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 junction number, because it is equal to n+sod(n) for n = 48281944632696 and 48281944632705.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 380172792321 + ... + 380172792447.
Almost surely, 248281944632768 is an apocalyptic number.
48281944632768 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 48281944632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100734140416000).
48281944632768 is an abundant number, since it is smaller than the sum of its proper divisors (153186336199232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48281944632768 is a wasteful number, since it uses less digits than its factorization.
48281944632768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 247 (or 200 counting only the distinct ones).
The product of its digits is 891813888, while the sum is 72.
The spelling of 48281944632768 in words is "forty-eight trillion, two hundred eighty-one billion, nine hundred forty-four million, six hundred thirty-two thousand, seven hundred sixty-eight".
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