Base | Representation |
---|---|
bin | 100010000000001111… |
… | …0100111101101110100 |
3 | 20222111001122212200000 |
4 | 1010000132213231310 |
5 | 2144022223033103 |
6 | 53313540551300 |
7 | 5163364522353 |
oct | 1040036475564 |
9 | 228431585600 |
10 | 73022471028 |
11 | 28a72310311 |
12 | 1219b0b2530 |
13 | 6b69698c50 |
14 | 376a1cb99a |
15 | 1d75b42aa3 |
hex | 11007a7b74 |
73022471028 has 144 divisors (see below), whose sum is σ = 206455267200. Its totient is φ = 22434724224.
The previous prime is 73022471017. The next prime is 73022471051. The reversal of 73022471028 is 82017422037.
73022471028 is a `hidden beast` number, since 7 + 302 + 247 + 102 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 73022470983 and 73022471001.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9182398 + ... + 9190346.
Almost surely, 273022471028 is an apocalyptic number.
73022471028 is a gapful number since it is divisible by the number (78) 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 73022471028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103227633600).
73022471028 is an abundant number, since it is smaller than the sum of its proper divisors (133432796172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73022471028 is a wasteful number, since it uses less digits than its factorization.
73022471028 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8708 (or 8694 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The spelling of 73022471028 in words is "seventy-three billion, twenty-two million, four hundred seventy-one thousand, twenty-eight".
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