Base | Representation |
---|---|
bin | 1001000001011111111110… |
… | …1101001111111000100000 |
3 | 1022010110210022010220220000 |
4 | 2100113333231033320200 |
5 | 2300022431100204310 |
6 | 33033451513220000 |
7 | 2042536533424140 |
oct | 220277755177040 |
9 | 38113708126800 |
10 | 9921369538080 |
11 | 31856a15001a0 |
12 | 11429b2701600 |
13 | 56c772997b90 |
14 | 2642a8216920 |
15 | 123126ced4c0 |
hex | 905ffb4fe20 |
9921369538080 has 3840 divisors, whose sum is σ = 50314481344512. Its totient is φ = 1773674496000.
The previous prime is 9921369538037. The next prime is 9921369538081. The reversal of 9921369538080 is 808359631299.
9921369538080 is a `hidden beast` number, since 9 + 9 + 2 + 13 + 6 + 9 + 538 + 0 + 80 = 666.
It is a super-2 number, since 2×99213695380802 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 9921369537999 and 9921369538017.
It is not an unprimeable number, because it can be changed into a prime (9921369538081) by changing a digit.
It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 12233500875 + ... + 12233501685.
Almost surely, 29921369538080 is an apocalyptic number.
9921369538080 is a gapful number since it is divisible by the number (90) 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 9921369538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25157240672256).
9921369538080 is an abundant number, since it is smaller than the sum of its proper divisors (40393111806432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9921369538080 is a wasteful number, since it uses less digits than its factorization.
9921369538080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 933 (or 916 counting only the distinct ones).
The product of its (nonzero) digits is 25194240, while the sum is 63.
The spelling of 9921369538080 in words is "nine trillion, nine hundred twenty-one billion, three hundred sixty-nine million, five hundred thirty-eight thousand, eighty".
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