Base | Representation |
---|---|
bin | 10101111110111101… |
… | …00000000000000000 |
3 | 1010110112020221021000 |
4 | 22333132200000000 |
5 | 143132402100430 |
6 | 5231045532000 |
7 | 565321363002 |
oct | 127736400000 |
9 | 33415227230 |
10 | 11802378240 |
11 | 5007153504 |
12 | 2354714000 |
13 | 1161230b83 |
14 | 7dd698372 |
15 | 491235e60 |
hex | 2bf7a0000 |
11802378240 has 576 divisors, whose sum is σ = 45298310400. Its totient is φ = 2906652672.
The previous prime is 11802378227. The next prime is 11802378253. The reversal of 11802378240 is 4287320811.
11802378240 is a `hidden beast` number, since 1 + 180 + 237 + 8 + 240 = 666.
It is an interprime number because it is at equal distance from previous prime (11802378227) and next prime (11802378253).
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×118023782402 (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 = 11802378195 and 11802378204.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406978546 + ... + 406978574.
It is an arithmetic number, because the mean of its divisors is an integer number (78642900).
Almost surely, 211802378240 is an apocalyptic number.
11802378240 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 11802378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22649155200).
11802378240 is an abundant number, since it is smaller than the sum of its proper divisors (33495932160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11802378240 is an frugal number, since it uses more digits than its factorization.
11802378240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 100 (or 62 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 36.
The spelling of 11802378240 in words is "eleven billion, eight hundred two million, three hundred seventy-eight thousand, two hundred forty".
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