Base | Representation |
---|---|
bin | 10011110001010111… |
… | …10100111110110000 |
3 | 1000101202102002220000 |
4 | 21320223310332300 |
5 | 133214330032322 |
6 | 4513141350000 |
7 | 524020242144 |
oct | 117053647660 |
9 | 30352362800 |
10 | 10614689712 |
11 | 4557796540 |
12 | 2082a08300 |
13 | 100215a3b3 |
14 | 729a51224 |
15 | 421d2d3ac |
hex | 278af4fb0 |
10614689712 has 200 divisors, whose sum is σ = 33990181632. Its totient is φ = 3170966400.
The previous prime is 10614689689. The next prime is 10614689713. The reversal of 10614689712 is 21798641601.
10614689712 is a `hidden beast` number, since 10 + 614 + 6 + 8 + 9 + 7 + 12 = 666.
It is a super-2 number, since 2×106146897122 (a number of 21 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (10614689713) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1006933 + ... + 1017419.
Almost surely, 210614689712 is an apocalyptic number.
10614689712 is a gapful number since it is divisible by the number (12) 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 10614689712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16995090816).
10614689712 is an abundant number, since it is smaller than the sum of its proper divisors (23375491920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10614689712 is a wasteful number, since it uses less digits than its factorization.
10614689712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10589 (or 10574 counting only the distinct ones).
The product of its (nonzero) digits is 145152, while the sum is 45.
The spelling of 10614689712 in words is "ten billion, six hundred fourteen million, six hundred eighty-nine thousand, seven hundred twelve".
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