| Base | Representation |
|---|---|
| bin | 1010010110110001000… |
| … | …01111111000101110000 |
| 3 | 1021000102201022020000000 |
| 4 | 11023120201333011300 |
| 5 | 21312204421343341 |
| 6 | 431243403430000 |
| 7 | 34464360666420 |
| oct | 5133041770560 |
| 9 | 1230381266000 |
| 10 | 355820106096 |
| 11 | 1279a21a0194 |
| 12 | 58b63525300 |
| 13 | 277275cc8a0 |
| 14 | 13316814480 |
| 15 | 93c7ea48b6 |
| hex | 52d887f170 |
355820106096 has 640 divisors, whose sum is σ = 1283764500480. Its totient is φ = 93017134080.
The previous prime is 355820106091. The next prime is 355820106101. The reversal of 355820106096 is 690601028553.
355820106096 is a `hidden beast` number, since 3 + 5 + 5 + 8 + 20 + 10 + 609 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (355820106091) and next prime (355820106101).
It is a super-2 number, since 2×3558201060962 (a number of 24 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (355820106091) by changing a digit.
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 127 ways as a sum of consecutive naturals, for example, 417139206 + ... + 417140058.
It is an arithmetic number, because the mean of its divisors is an integer number (2005882032).
Almost surely, 2355820106096 is an apocalyptic number.
355820106096 is a gapful number since it is divisible by the number (36) 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 355820106096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641882250240).
355820106096 is an abundant number, since it is smaller than the sum of its proper divisors (927944394384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
355820106096 is a wasteful number, since it uses less digits than its factorization.
355820106096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1033 (or 1009 counting only the distinct ones).
The product of its (nonzero) digits is 388800, while the sum is 45.
The spelling of 355820106096 in words is "three hundred fifty-five billion, eight hundred twenty million, one hundred six thousand, ninety-six".
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