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3287668855249 = 1572115492
BaseRepresentation
bin101111110101111000010…
…101011001000111010001
3102122022001021222020122101
4233311320111121013101
5412331121211331444
610554200105240401
7456345333116212
oct57657025310721
912568037866571
103287668855249
1110583243a5459
12451209793101
131ab044a1314c
14b51a445b409
155a7be5703d4
hex2fd785591d1

3287668855249 has 9 divisors (see below), whose sum is σ = 3309029321457. Its totient is φ = 3266445431184.

The previous prime is 3287668855199. The next prime is 3287668855267. The reversal of 3287668855249 is 9425588667823.

The square root of 3287668855249 is 1813193.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 465376374225 + 2822292481024 = 682185^2 + 1679968^2 .

It is not a de Polignac number, because 3287668855249 - 211 = 3287668853201 is a prime.

It is a super-2 number, since 2×32876688552492 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3287668855649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 284665527 + ... + 284677075.

Almost surely, 23287668855249 is an apocalyptic number.

3287668855249 is the 1813193-rd square number.

3287668855249 is the 906597-th centered octagonal number.

It is an amenable number.

3287668855249 is a deficient number, since it is larger than the sum of its proper divisors (21360466208).

3287668855249 is an frugal number, since it uses more digits than its factorization.

3287668855249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23412 (or 11706 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 73.

The spelling of 3287668855249 in words is "three trillion, two hundred eighty-seven billion, six hundred sixty-eight million, eight hundred fifty-five thousand, two hundred forty-nine".

Divisors: 1 157 11549 24649 1813193 133379401 284671301 20940565957 3287668855249