Base | Representation |
---|---|
bin | 11110010010111100000… |
… | …100100101101000000000 |
3 | 21101000210112211011000000 |
4 | 132102330010211220000 |
5 | 233102232342144220 |
6 | 4232230504000000 |
7 | 303261622454040 |
oct | 36227404455000 |
9 | 7330715734000 |
10 | 2081919490560 |
11 | 732a343055a8 |
12 | 2975a6760000 |
13 | 12142a265300 |
14 | 72aa0527720 |
15 | 3924ec59390 |
hex | 1e4bc125a00 |
2081919490560 has 3360 divisors, whose sum is σ = 9900306839808. Its totient is φ = 409915883520.
The previous prime is 2081919490529. The next prime is 2081919490591. The reversal of 2081919490560 is 650949191802.
2081919490560 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 91 + 9 + 490 + 5 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (2081919490529) and next prime (2081919490591).
It is a tau number, because it is divible by the number of its divisors (3360).
It is a super-2 number, since 2×20819194905602 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 2081919490497 and 2081919490506.
It is an unprimeable number.
It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 50778524140 + ... + 50778524180.
Almost surely, 22081919490560 is an apocalyptic number.
2081919490560 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 2081919490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950153419904).
2081919490560 is an abundant number, since it is smaller than the sum of its proper divisors (7818387349248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2081919490560 is an equidigital number, since it uses as much as digits as its factorization.
2081919490560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 138 (or 94 counting only the distinct ones).
The product of its (nonzero) digits is 1399680, while the sum is 54.
The spelling of 2081919490560 in words is "two trillion, eighty-one billion, nine hundred nineteen million, four hundred ninety thousand, five hundred sixty".
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