| Base | Representation |
|---|---|
| bin | 101101011011011000011000… |
| … | …001011001011101111000000 |
| 3 | 222012102002110001222121012000 |
| 4 | 231123120120023023233000 |
| 5 | 202141404441212311120 |
| 6 | 1544531542301304000 |
| 7 | 60040421665415400 |
| oct | 5533303013135700 |
| 9 | 865362401877160 |
| 10 | 199793694260160 |
| 11 | 5872a036887510 |
| 12 | 1a4a9433b65000 |
| 13 | 8763606746700 |
| 14 | 374a0d02a8800 |
| 15 | 181715c23c990 |
| hex | b5b6182cbbc0 |
199793694260160 has 8064 divisors, whose sum is σ = 1054838262988800. Its totient is φ = 35052466176000.
The previous prime is 199793694260159. The next prime is 199793694260177. The reversal of 199793694260160 is 61062496397991.
199793694260160 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 9 + 3 + 6 + 9 + 4 + 2 + 601 + 6 + 0 = 666.
It is a super-2 number, since 2×1997936942601602 (a number of 29 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 463558455145 + ... + 463558455575.
Almost surely, 2199793694260160 is an apocalyptic number.
199793694260160 is a gapful number since it is divisible by the number (10) 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 199793694260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527419131494400).
199793694260160 is an abundant number, since it is smaller than the sum of its proper divisors (855044568728640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
199793694260160 is a wasteful number, since it uses less digits than its factorization.
199793694260160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 558 (or 522 counting only the distinct ones).
The product of its (nonzero) digits is 238085568, while the sum is 72.
The spelling of 199793694260160 in words is "one hundred ninety-nine trillion, seven hundred ninety-three billion, six hundred ninety-four million, two hundred sixty thousand, one hundred sixty".
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