| Base | Representation |
|---|---|
| bin | 1001001001011101101111… |
| … | …11100010111111011100000 |
| 3 | 2122020002222202021210201000 |
| 4 | 10210232313330113323200 |
| 5 | 10114041410440414402 |
| 6 | 110441204345512000 |
| 7 | 4144235405622510 |
| oct | 444566774277340 |
| 9 | 78202882253630 |
| 10 | 20116417904352 |
| 11 | 6456363522730 |
| 12 | 230a8437a2600 |
| 13 | b2bc7c319583 |
| 14 | 4d78d5955840 |
| 15 | 24d41a614c1c |
| hex | 124bb7f17ee0 |
20116417904352 has 1152 divisors, whose sum is σ = 80215748444160. Its totient is φ = 4758912000000.
The previous prime is 20116417904329. The next prime is 20116417904381. The reversal of 20116417904352 is 25340971461102.
20116417904352 is a `hidden beast` number, since 2 + 0 + 116 + 4 + 17 + 90 + 435 + 2 = 666.
It is a super-2 number, since 2×201164179043522 (a number of 27 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 20116417904298 and 20116417904307.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 596007477 + ... + 596041227.
It is an arithmetic number, because the mean of its divisors is an integer number (69631726080).
Almost surely, 220116417904352 is an apocalyptic number.
20116417904352 is a gapful number since it is divisible by the number (22) 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 20116417904352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40107874222080).
20116417904352 is an abundant number, since it is smaller than the sum of its proper divisors (60099330539808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20116417904352 is a wasteful number, since it uses less digits than its factorization.
20116417904352 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 33853 (or 33822 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The spelling of 20116417904352 in words is "twenty trillion, one hundred sixteen billion, four hundred seventeen million, nine hundred four thousand, three hundred fifty-two".
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