Base | Representation |
---|---|
bin | 101011001101110001… |
… | …110111111100100000 |
3 | 11102202211200201101000 |
4 | 223031301313330200 |
5 | 1230012412421243 |
6 | 33152233312000 |
7 | 3231613066500 |
oct | 531561677440 |
9 | 142684621330 |
10 | 46402076448 |
11 | 18751842912 |
12 | 8babb65600 |
13 | 44b6538a90 |
14 | 2362961a00 |
15 | 1318a935d3 |
hex | acdc77f20 |
46402076448 has 576 divisors, whose sum is σ = 172540368000. Its totient is φ = 12022069248.
The previous prime is 46402076443. The next prime is 46402076467. The reversal of 46402076448 is 84467020464.
It is not an unprimeable number, because it can be changed into a prime (46402076443) 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, 32470998 + ... + 32472426.
It is an arithmetic number, because the mean of its divisors is an integer number (299549250).
Almost surely, 246402076448 is an apocalyptic number.
46402076448 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 46402076448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86270184000).
46402076448 is an abundant number, since it is smaller than the sum of its proper divisors (126138291552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46402076448 is a wasteful number, since it uses less digits than its factorization.
46402076448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1534 (or 1513 counting only the distinct ones).
The product of its (nonzero) digits is 1032192, while the sum is 45.
The spelling of 46402076448 in words is "forty-six billion, four hundred two million, seventy-six thousand, four hundred forty-eight".
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