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1311432055552 = 2823421529049
BaseRepresentation
bin10011000101010111011…
…100010001101100000000
311122101000221210001021001
4103011113130101230000
5132441303101234202
62442244044141344
7163514336355403
oct23052734215400
94571027701231
101311432055552
114661a222a793
121921b7b37854
139688a6a7b58
144768b9a5d3a
15241a78aad87
hex13157711b00

1311432055552 has 72 divisors (see below), whose sum is σ = 2738049602400. Its totient is φ = 625715650560.

The previous prime is 1311432055543. The next prime is 1311432055553. The reversal of 1311432055552 is 2555502341131.

It is not an unprimeable number, because it can be changed into a prime (1311432055553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2214324 + ... + 2743372.

It is an arithmetic number, because the mean of its divisors is an integer number (38028466700).

Almost surely, 21311432055552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311432055552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369024801200).

1311432055552 is an abundant number, since it is smaller than the sum of its proper divisors (1426617546848).

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

1311432055552 is an equidigital number, since it uses as much as digits as its factorization.

1311432055552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529509 (or 529495 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

Adding to 1311432055552 its reverse (2555502341131), we get a palindrome (3866934396683).

The spelling of 1311432055552 in words is "one trillion, three hundred eleven billion, four hundred thirty-two million, fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 421 736 842 1472 1684 2944 3368 5888 6736 9683 13472 19366 26944 38732 53888 77464 107776 154928 309856 529049 619712 1058098 1239424 2116196 2478848 4232392 8464784 12168127 16929568 24336254 33859136 48672508 67718272 97345016 135436544 194690032 222729629 389380064 445459258 778760128 890918516 1557520256 1781837032 3115040512 3563674064 5122781467 7127348128 10245562934 14254696256 20491125868 28509392512 40982251736 57018785024 81964503472 163929006944 327858013888 655716027776 1311432055552