| Base | Representation |
|---|---|
| bin | 101001101110100110101… |
| … | …1001110000000000000000 |
| 3 | 202022021020120200220200000 |
| 4 | 1103131031121300000000 |
| 5 | 1222430420430423000 |
| 6 | 20110354230400000 |
| 7 | 1131226425060432 |
| oct | 123351531600000 |
| 9 | 22267216626600 |
| 10 | 5735079936000 |
| 11 | 19112631242a8 |
| 12 | 7875b6800000 |
| 13 | 327a7b19208c |
| 14 | 15b817a44652 |
| 15 | 9e2b1399000 |
| hex | 5374d670000 |
5735079936000 has 1632 divisors, whose sum is σ = 22268665106688. Its totient is φ = 1471492915200.
The previous prime is 5735079935993. The next prime is 5735079936007. The reversal of 5735079936000 is 6399705375.
5735079936000 is a `hidden beast` number, since 5 + 73 + 507 + 9 + 9 + 3 + 60 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (5735079935993) and next prime (5735079936007).
It is a super-3 number, since 3×57350799360003 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5735079936007) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85598207967 + ... + 85598208033.
It is an arithmetic number, because the mean of its divisors is an integer number (13645015384).
Almost surely, 25735079936000 is an apocalyptic number.
5735079936000 is a gapful number since it is divisible by the number (50) 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 5735079936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134332553344).
5735079936000 is an abundant number, since it is smaller than the sum of its proper divisors (16533585170688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5735079936000 is an frugal number, since it uses more digits than its factorization.
5735079936000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 172 (or 120 counting only the distinct ones).
The product of its (nonzero) digits is 5358150, while the sum is 54.
The spelling of 5735079936000 in words is "five trillion, seven hundred thirty-five billion, seventy-nine million, nine hundred thirty-six thousand".
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