| Base | Representation |
|---|---|
| bin | 10000101110011001010100… |
| … | …110001111100100100000000 |
| 3 | 100122102222120001102022020000 |
| 4 | 100232121110301330210000 |
| 5 | 34120124300231244220 |
| 6 | 420235344550120000 |
| 7 | 21331214555160210 |
| oct | 2056312461744400 |
| 9 | 318388501368200 |
| 10 | 73557032290560 |
| 11 | 2148a3a9111325 |
| 12 | 82bba19350000 |
| 13 | 3207524324a60 |
| 14 | 1424272236240 |
| 15 | 8785c1ca9390 |
| hex | 42e654c7c900 |
73557032290560 has 2880 divisors, whose sum is σ = 345928287817728. Its totient is φ = 14497883947008.
The previous prime is 73557032290531. The next prime is 73557032290571. The reversal of 73557032290560 is 6509223075537.
73557032290560 is a `hidden beast` number, since 7 + 3 + 5 + 5 + 70 + 3 + 2 + 2 + 9 + 0 + 560 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a super-2 number, since 2×735570322905602 (a number of 29 digits) contains 22 as substring.
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 = 73557032290497 and 73557032290506.
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 319 ways as a sum of consecutive naturals, for example, 9331092379 + ... + 9331100261.
Almost surely, 273557032290560 is an apocalyptic number.
73557032290560 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 73557032290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172964143908864).
73557032290560 is an abundant number, since it is smaller than the sum of its proper divisors (272371255527168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73557032290560 is a wasteful number, since it uses less digits than its factorization.
73557032290560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8002 (or 7979 counting only the distinct ones).
The product of its (nonzero) digits is 11907000, while the sum is 54.
The spelling of 73557032290560 in words is "seventy-three trillion, five hundred fifty-seven billion, thirty-two million, two hundred ninety thousand, five hundred sixty".
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