Base | Representation |
---|---|
bin | 10111101000010001101000… |
… | …000111111100000010000000 |
3 | 111121221220211220200112000000 |
4 | 113220101220013330002000 |
5 | 102110132321023333001 |
6 | 1005005244122000000 |
7 | 30614113154500620 |
oct | 2750215007740200 |
9 | 447856756615000 |
10 | 103922775605376 |
11 | 30127446628102 |
12 | b7a4b1b346000 |
13 | 45cab4cb75300 |
14 | 1b93c63c8a880 |
15 | c0340acc7a86 |
hex | 5e84681fc080 |
103922775605376 has 1344 divisors, whose sum is σ = 404366411160000. Its totient is φ = 25965143433216.
The previous prime is 103922775605279. The next prime is 103922775605401. The reversal of 103922775605376 is 673506577229301.
103922775605376 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 2 + 27 + 75 + 6 + 0 + 537 + 6 = 666.
103922775605376 is digitally balanced in base 3, because in such base 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 (1344).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is an unprimeable number.
It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2097349050 + ... + 2097398598.
Almost surely, 2103922775605376 is an apocalyptic number.
103922775605376 is a gapful number since it is divisible by the number (16) 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 103922775605376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202183205580000).
103922775605376 is an abundant number, since it is smaller than the sum of its proper divisors (300443635554624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103922775605376 is an equidigital number, since it uses as much as digits as its factorization.
103922775605376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 49633 (or 49593 counting only the distinct ones).
The product of its (nonzero) digits is 100018800, while the sum is 63.
The spelling of 103922775605376 in words is "one hundred three trillion, nine hundred twenty-two billion, seven hundred seventy-five million, six hundred five thousand, three hundred seventy-six".
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