Base | Representation |
---|---|
bin | 1001100101000101001000… |
… | …11101000000011000001100 |
3 | 2202120211011111020210210000 |
4 | 10302202210131000120030 |
5 | 10230113142320433412 |
6 | 112445131101244300 |
7 | 4302626146323600 |
oct | 462424435003014 |
9 | 82524144223700 |
10 | 21065278686732 |
11 | 6791809714505 |
12 | 2442713263690 |
13 | b9a5a7813017 |
14 | 52b7ca241500 |
15 | 267e524a54dc |
hex | 1328a474060c |
21065278686732 has 720 divisors, whose sum is σ = 68594951513088. Its totient is φ = 5600869908480.
The previous prime is 21065278686719. The next prime is 21065278686733. The reversal of 21065278686732 is 23768687256012.
21065278686732 is a `hidden beast` number, since 2 + 10 + 6 + 527 + 8 + 6 + 8 + 67 + 32 = 666.
It is a super-2 number, since 2×210652786867322 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 21065278686732.
It is not an unprimeable number, because it can be changed into a prime (21065278686733) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12099527382 + ... + 12099529122.
Almost surely, 221065278686732 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21065278686732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34297475756544).
21065278686732 is an abundant number, since it is smaller than the sum of its proper divisors (47529672826356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21065278686732 is a wasteful number, since it uses less digits than its factorization.
21065278686732 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2268 (or 2250 counting only the distinct ones).
The product of its (nonzero) digits is 81285120, while the sum is 63.
The spelling of 21065278686732 in words is "twenty-one trillion, sixty-five billion, two hundred seventy-eight million, six hundred eighty-six thousand, seven hundred thirty-two".
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