Base | Representation |
---|---|
bin | 1001111110001000010101… |
… | …11111000011100010101100 |
3 | 2212122002211002212002111000 |
4 | 10333010022333003202230 |
5 | 10333213413020112240 |
6 | 114344354542200300 |
7 | 4422046346613111 |
oct | 477041277034254 |
9 | 85562732762430 |
10 | 21925992347820 |
11 | 6a93841086410 |
12 | 25614a2583090 |
13 | c307c6030032 |
14 | 55b31bb4c908 |
15 | 28052a9ba430 |
hex | 13f10afc38ac |
21925992347820 has 384 divisors, whose sum is σ = 74791274987520. Its totient is φ = 5288580944640.
The previous prime is 21925992347813. The next prime is 21925992347827. The reversal of 21925992347820 is 2874329952912.
21925992347820 is a `hidden beast` number, since 2 + 1 + 9 + 2 + 59 + 92 + 3 + 478 + 20 = 666.
It is an interprime number because it is at equal distance from previous prime (21925992347813) and next prime (21925992347827).
It is a super-2 number, since 2×219259923478202 (a number of 27 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (21925992347827) by changing a digit.
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 127 ways as a sum of consecutive naturals, for example, 2571356397 + ... + 2571364923.
It is an arithmetic number, because the mean of its divisors is an integer number (194768945280).
Almost surely, 221925992347820 is an apocalyptic number.
21925992347820 is a gapful number since it is divisible by the number (20) 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 21925992347820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37395637493760).
21925992347820 is an abundant number, since it is smaller than the sum of its proper divisors (52865282639700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21925992347820 is a wasteful number, since it uses less digits than its factorization.
21925992347820 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10690 (or 10682 counting only the distinct ones).
The product of its (nonzero) digits is 39191040, while the sum is 63.
The spelling of 21925992347820 in words is "twenty-one trillion, nine hundred twenty-five billion, nine hundred ninety-two million, three hundred forty-seven thousand, eight hundred twenty".
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