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606606336349 = 131372931162453
BaseRepresentation
bin10001101001111001000…
…11100010000101011101
32010222202102211201021021
420310330203202011131
534414312210230344
61142400543004141
761553161532566
oct10647443420535
92128672751237
10606606336349
1121429550a902
1299693299651
134528352cc80
142150780916d
1510ba4d25b84
hex8d3c8e215d

606606336349 has 16 divisors (see below), whose sum is σ = 660283171632. Its totient is φ = 553959525888.

The previous prime is 606606336337. The next prime is 606606336367. The reversal of 606606336349 is 943633606606.

It can be written as a sum of positive squares in 8 ways, for example, as 19111680025 + 587494656324 = 138245^2 + 766482^2 .

It is a cyclic number.

It is not a de Polignac number, because 606606336349 - 29 = 606606335837 is a prime.

It is a super-2 number, since 2×6066063363492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 606606336296 and 606606336305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (606606336449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59394 + ... + 1103059.

It is an arithmetic number, because the mean of its divisors is an integer number (41267698227).

Almost surely, 2606606336349 is an apocalyptic number.

It is an amenable number.

606606336349 is a deficient number, since it is larger than the sum of its proper divisors (53676835283).

606606336349 is a wasteful number, since it uses less digits than its factorization.

606606336349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162896.

The product of its (nonzero) digits is 7558272, while the sum is 52.

The spelling of 606606336349 in words is "six hundred six billion, six hundred six million, three hundred thirty-six thousand, three hundred forty-nine".

Divisors: 1 13 137 293 1781 3809 40141 521833 1162453 15111889 159256061 340598729 2070328793 4427783477 46662025873 606606336349