| Base | Representation |
|---|---|
| bin | 101100010101101111011110… |
| … | …011111100110100000000000 |
| 3 | 221120110121002002010102200000 |
| 4 | 230111233132133212200000 |
| 5 | 201030003124014411100 |
| 6 | 1530425255522400000 |
| 7 | 56034605216526555 |
| oct | 5425573637464000 |
| 9 | 846417062112600 |
| 10 | 195008132966400 |
| 11 | 57154537231926 |
| 12 | 19a55a71200000 |
| 13 | 84a725a154790 |
| 14 | 3622630478a2c |
| 15 | 1782920880900 |
| hex | b15bde7e6800 |
195008132966400 has 6912 divisors, whose sum is σ = 894290761728000. Its totient is φ = 41622228172800.
The previous prime is 195008132966389. The next prime is 195008132966453. The reversal of 195008132966400 is 4669231800591.
195008132966400 is a `hidden beast` number, since 1 + 9 + 500 + 8 + 1 + 3 + 2 + 96 + 6 + 40 + 0 = 666.
195008132966400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (6912).
It is a super-2 number, since 2×1950081329664002 (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 an unprimeable number.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2191102617556 + ... + 2191102617644.
It is an arithmetic number, because the mean of its divisors is an integer number (129382344000).
Almost surely, 2195008132966400 is an apocalyptic number.
195008132966400 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 195008132966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447145380864000).
195008132966400 is an abundant number, since it is smaller than the sum of its proper divisors (699282628761600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
195008132966400 is a wasteful number, since it uses less digits than its factorization.
195008132966400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 222 (or 185 counting only the distinct ones).
The product of its (nonzero) digits is 2799360, while the sum is 54.
The spelling of 195008132966400 in words is "one hundred ninety-five trillion, eight billion, one hundred thirty-two million, nine hundred sixty-six thousand, four hundred".
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