| Base | Representation |
|---|---|
| bin | 101100110011110111… |
| … | …111110000100000000 |
| 3 | 11121012012202201201000 |
| 4 | 230303313332010000 |
| 5 | 1242014411403100 |
| 6 | 34034222212000 |
| 7 | 3322222221216 |
| oct | 546367760400 |
| 9 | 147165681630 |
| 10 | 48114950400 |
| 11 | 194506a9420 |
| 12 | 93a9724000 |
| 13 | 46ca37206a |
| 14 | 2486238cb6 |
| 15 | 13b913b900 |
| hex | b33dfe100 |
48114950400 has 864 divisors, whose sum is σ = 203930697600. Its totient is φ = 10970726400.
The previous prime is 48114950393. The next prime is 48114950407. The reversal of 48114950400 is 405941184.
48114950400 is a `hidden beast` number, since 4 + 8 + 1 + 149 + 504 + 0 + 0 = 666.
48114950400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (48114950393) and next prime (48114950407).
It is a tau number, because it is divible by the number of its divisors (864).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (48114950407) 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, 32312856 + ... + 32314344.
It is an arithmetic number, because the mean of its divisors is an integer number (236030900).
Almost surely, 248114950400 is an apocalyptic number.
48114950400 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 48114950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101965348800).
48114950400 is an abundant number, since it is smaller than the sum of its proper divisors (155815747200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48114950400 is a wasteful number, since it uses less digits than its factorization.
48114950400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1552 (or 1527 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
It can be divided in two parts, 48114 and 950400, that multiplied together give a square (45727545600 = 2138402).
The spelling of 48114950400 in words is "forty-eight billion, one hundred fourteen million, nine hundred fifty thousand, four hundred".
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