| Base | Representation |
|---|---|
| bin | 10110000000000101110101… |
| … | …11110011000100000000000 |
| 3 | 20100022020111021100220101000 |
| 4 | 23000002322332120200000 |
| 5 | 22320141104011200400 |
| 6 | 250522120021012000 |
| 7 | 13122313232104200 |
| oct | 1300027276304000 |
| 9 | 210266437326330 |
| 10 | 48381648537600 |
| 11 | 144635a6324354 |
| 12 | 5514830254000 |
| 13 | 20cc4a6820961 |
| 14 | bd3981962400 |
| 15 | 58d7b73ea600 |
| hex | 2c00baf98800 |
48381648537600 has 1728 divisors, whose sum is σ = 207698268960000. Its totient is φ = 11006841323520.
The previous prime is 48381648537587. The next prime is 48381648537601. The reversal of 48381648537600 is 673584618384.
48381648537600 is a `hidden beast` number, since 4 + 8 + 3 + 8 + 16 + 4 + 8 + 5 + 3 + 7 + 600 = 666.
It is a tau number, because it is divible by the number of its divisors (1728).
It is a super-2 number, since 2×483816485376002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (48381648537601) 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, 15511908841 + ... + 15511911959.
It is an arithmetic number, because the mean of its divisors is an integer number (120195757500).
Almost surely, 248381648537600 is an apocalyptic number.
48381648537600 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 48381648537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103849134480000).
48381648537600 is an abundant number, since it is smaller than the sum of its proper divisors (159316620422400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48381648537600 is a wasteful number, since it uses less digits than its factorization.
48381648537600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3403 (or 3365 counting only the distinct ones).
The product of its (nonzero) digits is 92897280, while the sum is 63.
The spelling of 48381648537600 in words is "forty-eight trillion, three hundred eighty-one billion, six hundred forty-eight million, five hundred thirty-seven thousand, six hundred".
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