Base | Representation |
---|---|
bin | 11011111011001011110… |
… | …011001110010110100000 |
3 | 20210110012122021220220200 |
4 | 123323023303032112200 |
5 | 222420030000220432 |
6 | 4025321553505200 |
7 | 255432660053436 |
oct | 33731363162640 |
9 | 6713178256820 |
10 | 1918974616992 |
11 | 67a918164334 |
12 | 26bab0872200 |
13 | 10bc5cb75a64 |
14 | 68c4387ad56 |
15 | 34db49b6a7c |
hex | 1becbcce5a0 |
1918974616992 has 72 divisors (see below), whose sum is σ = 5457586139460. Its totient is φ = 639599354880.
The previous prime is 1918974616981. The next prime is 1918974617003. The reversal of 1918974616992 is 2996164798191.
1918974616992 is a `hidden beast` number, since 1 + 9 + 18 + 9 + 7 + 461 + 69 + 92 = 666.
It is an interprime number because it is at equal distance from previous prime (1918974616981) and next prime (1918974617003).
It can be written as a sum of positive squares in 2 ways, for example, as 1852985227536 + 65989389456 = 1361244^2 + 256884^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-3 number, since 3×19189746169923 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 1918974616992.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2886892 + ... + 3488852.
Almost surely, 21918974616992 is an apocalyptic number.
1918974616992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1918974616992 is an abundant number, since it is smaller than the sum of its proper divisors (3538611522468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1918974616992 is a wasteful number, since it uses less digits than its factorization.
1918974616992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 613046 (or 613035 counting only the distinct ones).
The product of its digits is 105815808, while the sum is 72.
The spelling of 1918974616992 in words is "one trillion, nine hundred eighteen billion, nine hundred seventy-four million, six hundred sixteen thousand, nine hundred ninety-two".
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