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663363204345 = 325137107601493
BaseRepresentation
bin10011010011100111000…
…01110011010011111001
32100102020220220100021100
421221303201303103321
541332031440014340
61224424515402013
765632521126132
oct11516341632371
92312226810240
10663363204345
11236370264886
12a8692bb3309
134a72a0c932a
142416d686c89
15123c79aa830
hex9a738734f9

663363204345 has 24 divisors (see below), whose sum is σ = 1158222481416. Its totient is φ = 351211269888.

The previous prime is 663363204341. The next prime is 663363204349. The reversal of 663363204345 is 543402363366.

663363204345 is a `hidden beast` number, since 6 + 6 + 3 + 3 + 632 + 0 + 4 + 3 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (663363204341) and next prime (663363204349).

It can be written as a sum of positive squares in 4 ways, for example, as 27152777961 + 636210426384 = 164781^2 + 797628^2 .

It is not a de Polignac number, because 663363204345 - 22 = 663363204341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 663363204345.

It is not an unprimeable number, because it can be changed into a prime (663363204341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53794582 + ... + 53806911.

It is an arithmetic number, because the mean of its divisors is an integer number (48259270059).

Almost surely, 2663363204345 is an apocalyptic number.

It is an amenable number.

663363204345 is a deficient number, since it is larger than the sum of its proper divisors (494859277071).

663363204345 is a wasteful number, since it uses less digits than its factorization.

663363204345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107601641 (or 107601638 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 45.

The spelling of 663363204345 in words is "six hundred sixty-three billion, three hundred sixty-three million, two hundred four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 137 411 685 1233 2055 6165 107601493 322804479 538007465 968413437 1614022395 4842067185 14741404541 44224213623 73707022705 132672640869 221121068115 663363204345