Base | Representation |
---|---|
bin | 1110100001000001010… |
… | …0010111111111011000 |
3 | 212211200212000002120100 |
4 | 3220100110113333120 |
5 | 13041213230123033 |
6 | 310321531055400 |
7 | 24005626000650 |
oct | 3502024277730 |
9 | 784625002510 |
10 | 249381879768 |
11 | 9684262a38a |
12 | 403b95a1560 |
13 | 1a693cba688 |
14 | c0da6ad360 |
15 | 674891c513 |
hex | 3a10517fd8 |
249381879768 has 96 divisors (see below), whose sum is σ = 773841238560. Its totient is φ = 71072432640.
The previous prime is 249381879749. The next prime is 249381879787. The reversal of 249381879768 is 867978183942.
249381879768 is a `hidden beast` number, since 2 + 493 + 8 + 1 + 8 + 79 + 7 + 68 = 666.
249381879768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (249381879749) and next prime (249381879787).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 249381879696 and 249381879705.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 423093 + ... + 823268.
It is an arithmetic number, because the mean of its divisors is an integer number (8060846235).
Almost surely, 2249381879768 is an apocalyptic number.
249381879768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
249381879768 is an abundant number, since it is smaller than the sum of its proper divisors (524459358792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
249381879768 is a wasteful number, since it uses less digits than its factorization.
249381879768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1246777 (or 1246770 counting only the distinct ones).
The product of its digits is 292626432, while the sum is 72.
The spelling of 249381879768 in words is "two hundred forty-nine billion, three hundred eighty-one million, eight hundred seventy-nine thousand, seven hundred sixty-eight".
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