| Base | Representation |
|---|---|
| bin | 1001001010110110101001… |
| … | …10101111110101000000000 |
| 3 | 2122101200012002202202222200 |
| 4 | 10211123110311332220000 |
| 5 | 10120332133214013420 |
| 6 | 110515140442433200 |
| 7 | 4150545240662505 |
| oct | 445332465765000 |
| 9 | 78350162682880 |
| 10 | 20164147407360 |
| 11 | 6474626595790 |
| 12 | 2317b44202800 |
| 13 | b33617873b48 |
| 14 | 4d9d428d74ac |
| 15 | 24e7b09b4b90 |
| hex | 1256d4d7ea00 |
20164147407360 has 1920 divisors, whose sum is σ = 84658037967360. Its totient is φ = 4377595084800.
The previous prime is 20164147407359. The next prime is 20164147407361. The reversal of 20164147407360 is 6370474146102.
20164147407360 is a `hidden beast` number, since 2 + 0 + 16 + 41 + 474 + 0 + 73 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (20164147407359) and next prime (20164147407361).
It is a tau number, because it is divible by the number of its divisors (1920).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (20164147407361) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8871159184 + ... + 8871161456.
It is an arithmetic number, because the mean of its divisors is an integer number (44092728108).
Almost surely, 220164147407360 is an apocalyptic number.
20164147407360 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 20164147407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42329018983680).
20164147407360 is an abundant number, since it is smaller than the sum of its proper divisors (64493890560000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20164147407360 is a wasteful number, since it uses less digits than its factorization.
20164147407360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2430 (or 2411 counting only the distinct ones).
The product of its (nonzero) digits is 677376, while the sum is 45.
The spelling of 20164147407360 in words is "twenty trillion, one hundred sixty-four billion, one hundred forty-seven million, four hundred seven thousand, three hundred sixty".
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