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818135749 = 37121318229
BaseRepresentation
bin110000110000111…
…100001011000101
32010000110121021001
4300300330023011
53133420320444
6213103253301
726163016264
oct6060741305
92100417231
10818135749
1138a8a8552
121a9baa231
131006628c2
147a92a5db
154bc5a8d4
hex30c3c2c5

818135749 has 8 divisors (see below), whose sum is σ = 840986360. Its totient is φ = 795324096.

The previous prime is 818135743. The next prime is 818135807. The reversal of 818135749 is 947531818.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 345290724 + 472845025 = 18582^2 + 21745^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 818135749 - 215 = 818102981 is a prime.

It is a super-2 number, since 2×8181357492 = 1338692207583582002, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 818135699 and 818135708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818135743) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35767 + ... + 53995.

It is an arithmetic number, because the mean of its divisors is an integer number (105123295).

Almost surely, 2818135749 is an apocalyptic number.

It is an amenable number.

818135749 is a deficient number, since it is larger than the sum of its proper divisors (22850611).

818135749 is a wasteful number, since it uses less digits than its factorization.

818135749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19479.

The product of its digits is 241920, while the sum is 46.

The square root of 818135749 is about 28603.0723699396. The cubic root of 818135749 is about 935.2803067798.

The spelling of 818135749 in words is "eight hundred eighteen million, one hundred thirty-five thousand, seven hundred forty-nine".

Divisors: 1 37 1213 18229 44881 674473 22111777 818135749