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1311643455336 = 233218217270213
BaseRepresentation
bin10011000101100100000…
…010101100111101101000
311122101120200120021020200
4103011210002230331220
5132442221211032321
62442321035152200
7163522514262324
oct23054402547550
94571520507220
101311643455336
114662a0599555
121922568a5660
13968c2423b96
14476abab4984
15241bb217d26
hex131640acf68

1311643455336 has 24 divisors (see below), whose sum is σ = 3552367691730. Its totient is φ = 437214485088.

The previous prime is 1311643455323. The next prime is 1311643455359. The reversal of 1311643455336 is 6335543461131.

It is a happy number.

1311643455336 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 64 + 3 + 4 + 553 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 797081126436 + 514562328900 = 892794^2 + 717330^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×13116434553362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311643455291 and 1311643455300.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9108635035 + ... + 9108635178.

Almost surely, 21311643455336 is an apocalyptic number.

It is an amenable number.

1311643455336 is an abundant number, since it is smaller than the sum of its proper divisors (2240724236394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311643455336 is a wasteful number, since it uses less digits than its factorization.

1311643455336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18217270225 (or 18217270218 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 1311643455336 in words is "one trillion, three hundred eleven billion, six hundred forty-three million, four hundred fifty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18217270213 36434540426 54651810639 72869080852 109303621278 145738161704 163955431917 218607242556 327910863834 437214485112 655821727668 1311643455336