Base | Representation |
---|---|
bin | 1001111101011001011010… |
… | …01111110101000010000000 |
3 | 2212112200210020001102110000 |
4 | 10332230231033311002000 |
5 | 10332310313111211100 |
6 | 114325030514240000 |
7 | 4420165114035561 |
oct | 476545517650200 |
9 | 85480706042400 |
10 | 21900797366400 |
11 | 6a84092184a17 |
12 | 2558630886000 |
13 | c2b30c2a88c4 |
14 | 55a00b92c168 |
15 | 27ea53b30900 |
hex | 13eb2d3f5080 |
21900797366400 has 1920 divisors, whose sum is σ = 88445339136000. Its totient is φ = 5316096614400.
The previous prime is 21900797366353. The next prime is 21900797366447. The reversal of 21900797366400 is 466379700912.
It is a happy number.
21900797366400 is a `hidden beast` number, since 2 + 1 + 90 + 0 + 7 + 97 + 3 + 66 + 400 = 666.
It is an interprime number because it is at equal distance from previous prime (21900797366353) and next prime (21900797366447).
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-2 number, since 2×219007973664002 (a number of 27 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 239 ways as a sum of consecutive naturals, for example, 25495689171 + ... + 25495690029.
It is an arithmetic number, because the mean of its divisors is an integer number (46065280800).
Almost surely, 221900797366400 is an apocalyptic number.
21900797366400 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 21900797366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44222669568000).
21900797366400 is an abundant number, since it is smaller than the sum of its proper divisors (66544541769600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21900797366400 is a wasteful number, since it uses less digits than its factorization.
21900797366400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1112 (or 1086 counting only the distinct ones).
The product of its (nonzero) digits is 3429216, while the sum is 54.
The spelling of 21900797366400 in words is "twenty-one trillion, nine hundred billion, seven hundred ninety-seven million, three hundred sixty-six thousand, four hundred".
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