Base | Representation |
---|---|
bin | 100100001010110010… |
… | …0111110000111000000 |
3 | 21102111001111011212000 |
4 | 1020111210332013000 |
5 | 2233032341040243 |
6 | 55403132104000 |
7 | 5416525133412 |
oct | 1102544760700 |
9 | 242431434760 |
10 | 77671424448 |
11 | 2aa38548882 |
12 | 13078005000 |
13 | 742a896167 |
14 | 3a8b7cc9b2 |
15 | 2048d555d3 |
hex | 121593e1c0 |
77671424448 has 112 divisors (see below), whose sum is σ = 230007017760. Its totient is φ = 25701414912.
The previous prime is 77671424431. The next prime is 77671424459. The reversal of 77671424448 is 84442417677.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 77671424394 and 77671424403.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72690 + ... + 400782.
Almost surely, 277671424448 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 77671424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115003508880).
77671424448 is an abundant number, since it is smaller than the sum of its proper divisors (152335593312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
77671424448 is a wasteful number, since it uses less digits than its factorization.
77671424448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 328251 (or 328235 counting only the distinct ones).
The product of its digits is 8429568, while the sum is 54.
The spelling of 77671424448 in words is "seventy-seven billion, six hundred seventy-one million, four hundred twenty-four thousand, four hundred forty-eight".
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