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1263131264 = 2773135181
BaseRepresentation
bin100101101001001…
…1101101010000000
310021000210201100102
41023102131222000
510041330200024
6325201141532
743205303303
oct11322355200
93230721312
101263131264
1159900623a
122b302a8a8
131718c9765
14bda84b3a
1575d5b1ae
hex4b49da80

1263131264 has 32 divisors (see below), whose sum is σ = 2550884340. Its totient is φ = 622909440.

The previous prime is 1263131257. The next prime is 1263131281. The reversal of 1263131264 is 4621313621.

It can be written as a sum of positive squares in 2 ways, for example, as 1129497664 + 133633600 = 33608^2 + 11560^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58247 + ... + 76934.

Almost surely, 21263131264 is an apocalyptic number.

It is an amenable number.

1263131264 is an abundant number, since it is smaller than the sum of its proper divisors (1287753076).

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

1263131264 is an equidigital number, since it uses as much as digits as its factorization.

1263131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135268 (or 135256 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 1263131264 is about 35540.5580147527. The cubic root of 1263131264 is about 1080.9762731469.

Adding to 1263131264 its reverse (4621313621), we get a palindrome (5884444885).

The spelling of 1263131264 in words is "one billion, two hundred sixty-three million, one hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 135181 270362 540724 1081448 2162896 4325792 8651584 9868213 17303168 19736426 39472852 78945704 157891408 315782816 631565632 1263131264