| Base | Representation |
|---|---|
| bin | 1001111010110011010110… |
| … | …00100000100010000100000 |
| 3 | 2212020011122201000220222100 |
| 4 | 10331121223010010100200 |
| 5 | 10324330214340012331 |
| 6 | 114220043522010400 |
| 7 | 4410560530206240 |
| oct | 475315304042040 |
| 9 | 85204581026870 |
| 10 | 21811640157216 |
| 11 | 6a4a2a0271068 |
| 12 | 25432aa1a6a00 |
| 13 | c22aa0c6c420 |
| 14 | 555990937b20 |
| 15 | 27c58677eae6 |
| hex | 13d66b104420 |
21811640157216 has 576 divisors, whose sum is σ = 78388958269440. Its totient is φ = 5600076134400.
The previous prime is 21811640157143. The next prime is 21811640157289. The reversal of 21811640157216 is 61275104611812.
It is a happy number.
21811640157216 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 1 + 64 + 0 + 1 + 572 + 16 = 666.
It is an interprime number because it is at equal distance from previous prime (21811640157143) and next prime (21811640157289).
It is a super-2 number, since 2×218116401572162 (a number of 27 digits) contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159197541 + ... + 159334491.
It is an arithmetic number, because the mean of its divisors is an integer number (136091941440).
Almost surely, 221811640157216 is an apocalyptic number.
21811640157216 is a gapful number since it is divisible by the number (26) 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 21811640157216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39194479134720).
21811640157216 is an abundant number, since it is smaller than the sum of its proper divisors (56577318112224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21811640157216 is a wasteful number, since it uses less digits than its factorization.
21811640157216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 137149 (or 137138 counting only the distinct ones).
The product of its (nonzero) digits is 161280, while the sum is 45.
The spelling of 21811640157216 in words is "twenty-one trillion, eight hundred eleven billion, six hundred forty million, one hundred fifty-seven thousand, two hundred sixteen".
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