Base | Representation |
---|---|
bin | 100010001101000000… |
… | …0000110001010010000 |
3 | 21000120220101222200000 |
4 | 1010122000012022100 |
5 | 2200411333130010 |
6 | 53424234530000 |
7 | 5210114311050 |
oct | 1043200061220 |
9 | 230526358600 |
10 | 73450676880 |
11 | 29171aa0749 |
12 | 1229a596900 |
13 | 6c073049a9 |
14 | 37ab015560 |
15 | 1d9d5287c0 |
hex | 111a006290 |
73450676880 has 240 divisors, whose sum is σ = 292352371584. Its totient is φ = 16788695040.
The previous prime is 73450676879. The next prime is 73450676903. The reversal of 73450676880 is 8867605437.
73450676880 is a `hidden beast` number, since 73 + 4 + 506 + 7 + 68 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133801 + ... + 405960.
Almost surely, 273450676880 is an apocalyptic number.
73450676880 is a gapful number since it is divisible by the number (70) 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 73450676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146176185792).
73450676880 is an abundant number, since it is smaller than the sum of its proper divisors (218901694704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73450676880 is a wasteful number, since it uses less digits than its factorization.
73450676880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 539796 (or 539778 counting only the distinct ones).
The product of its (nonzero) digits is 6773760, while the sum is 54.
The spelling of 73450676880 in words is "seventy-three billion, four hundred fifty million, six hundred seventy-six thousand, eight hundred eighty".
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