| Base | Representation |
|---|---|
| bin | 1010000100010100111111… |
| … | …10010001011000001010000 |
| 3 | 2220101110110221112001220000 |
| 4 | 11002022133302023001100 |
| 5 | 10400211023144021024 |
| 6 | 115030253432050000 |
| 7 | 4443325424352210 |
| oct | 502123762130120 |
| 9 | 86343427461800 |
| 10 | 22138942173264 |
| 11 | 7066088772094 |
| 12 | 2596812b33900 |
| 13 | c479022041c7 |
| 14 | 56775da58240 |
| 15 | 285d40c7ecc9 |
| hex | 14229fc8b050 |
22138942173264 has 400 divisors, whose sum is σ = 75795598771200. Its totient is φ = 6104926402560.
The previous prime is 22138942173253. The next prime is 22138942173277. The reversal of 22138942173264 is 46237124983122.
22138942173264 is a `hidden beast` number, since 2 + 2 + 13 + 8 + 94 + 217 + 326 + 4 = 666.
It is a super-2 number, since 2×221389421732642 (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 a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 22138942173264.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104794012 + ... + 105005060.
It is an arithmetic number, because the mean of its divisors is an integer number (189488996928).
Almost surely, 222138942173264 is an apocalyptic number.
22138942173264 is a gapful number since it is divisible by the number (24) 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 22138942173264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37897799385600).
22138942173264 is an abundant number, since it is smaller than the sum of its proper divisors (53656656597936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22138942173264 is a wasteful number, since it uses less digits than its factorization.
22138942173264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 211480 (or 211465 counting only the distinct ones).
The product of its digits is 6967296, while the sum is 54.
The spelling of 22138942173264 in words is "twenty-two trillion, one hundred thirty-eight billion, nine hundred forty-two million, one hundred seventy-three thousand, two hundred sixty-four".
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