Base | Representation |
---|---|
bin | 11110011111111100… |
… | …11110001101000000 |
3 | 1120021010212121220100 |
4 | 33033332132031000 |
5 | 232013241142430 |
6 | 11304443042400 |
7 | 1116524040222 |
oct | 171776361500 |
9 | 46233777810 |
10 | 16374162240 |
11 | 6a42873497 |
12 | 320b810400 |
13 | 170c44c1c7 |
14 | b1492c412 |
15 | 65c7a3960 |
hex | 3cff9e340 |
16374162240 has 168 divisors, whose sum is σ = 56523517128. Its totient is φ = 4350689280.
The previous prime is 16374162199. The next prime is 16374162263. The reversal of 16374162240 is 4226147361.
16374162240 is a `hidden beast` number, since 1 + 637 + 4 + 16 + 2 + 2 + 4 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2752471296 + 13621690944 = 52464^2 + 116712^2 .
It is a super-2 number, since 2×163741622402 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 16374162195 and 16374162204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 799164 + ... + 819396.
Almost surely, 216374162240 is an apocalyptic number.
16374162240 is a gapful number since it is divisible by the number (10) 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 16374162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28261758564).
16374162240 is an abundant number, since it is smaller than the sum of its proper divisors (40149354888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16374162240 is a wasteful number, since it uses less digits than its factorization.
16374162240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20537 (or 20524 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The spelling of 16374162240 in words is "sixteen billion, three hundred seventy-four million, one hundred sixty-two thousand, two hundred forty".
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