Base | Representation |
---|---|
bin | 101101011100110011… |
… | …010101111110000000 |
3 | 11122222001211022121200 |
4 | 231130303111332000 |
5 | 1244421202302311 |
6 | 34230311421200 |
7 | 3345230533164 |
oct | 553463257600 |
9 | 148861738550 |
10 | 48801603456 |
11 | 19773261a91 |
12 | 955b684800 |
13 | 47a96ba348 |
14 | 250d4daca4 |
15 | 1409574556 |
hex | b5ccd5f80 |
48801603456 has 96 divisors (see below), whose sum is σ = 140660621400. Its totient is φ = 16240684032.
The previous prime is 48801603421. The next prime is 48801603467. The reversal of 48801603456 is 65430610884.
48801603456 is a `hidden beast` number, since 488 + 0 + 160 + 3 + 4 + 5 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×488016034562 (a number of 22 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678870 + ... + 747306.
Almost surely, 248801603456 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 48801603456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70330310700).
48801603456 is an abundant number, since it is smaller than the sum of its proper divisors (91859017944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48801603456 is a wasteful number, since it uses less digits than its factorization.
48801603456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 69076 (or 69061 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 45.
The spelling of 48801603456 in words is "forty-eight billion, eight hundred one million, six hundred three thousand, four hundred fifty-six".
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