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3680809353 = 321322419993
BaseRepresentation
bin1101101101100100…
…1011000110001001
3100111112002111012100
43123121023012021
530014241344403
61405124304013
7160133235414
oct33331130611
910445074170
103680809353
1116197a2601
12868842009
13468764a00
1426cbc6b7b
151682252a3
hexdb64b189

3680809353 has 18 divisors (see below), whose sum is σ = 5757165726. Its totient is φ = 2265112512.

The previous prime is 3680809291. The next prime is 3680809381. The reversal of 3680809353 is 3539080863.

3680809353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9903609 + 3670905744 = 3147^2 + 60588^2 .

It is not a de Polignac number, because 3680809353 - 26 = 3680809289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3680809299 and 3680809308.

It is not an unprimeable number, because it can be changed into a prime (3680809453) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1208476 + ... + 1211517.

Almost surely, 23680809353 is an apocalyptic number.

It is an amenable number.

3680809353 is a deficient number, since it is larger than the sum of its proper divisors (2076356373).

3680809353 is a wasteful number, since it uses less digits than its factorization.

3680809353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420025 (or 2420009 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3680809353 is about 60669.6740802190. The cubic root of 3680809353 is about 1544.0017015259.

The spelling of 3680809353 in words is "three billion, six hundred eighty million, eight hundred nine thousand, three hundred fifty-three".

Divisors: 1 3 9 13 39 117 169 507 1521 2419993 7259979 21779937 31459909 94379727 283139181 408978817 1226936451 3680809353