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1311748672 = 261310315307
BaseRepresentation
bin100111000101111…
…1011001001000000
310101102021201220011
41032023323021000
510141301424142
6334055154304
744335452103
oct11613731100
93342251804
101311748672
116134a2213
12307375994
1317b9bc760
14c62dc73a
157a261417
hex4e2fb240

1311748672 has 56 divisors (see below), whose sum is σ = 2830632896. Its totient is φ = 599505408.

The previous prime is 1311748667. The next prime is 1311748681. The reversal of 1311748672 is 2768471131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78043 + ... + 93349.

It is an arithmetic number, because the mean of its divisors is an integer number (50547016).

Almost surely, 21311748672 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 1311748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415316448).

1311748672 is an abundant number, since it is smaller than the sum of its proper divisors (1518884224).

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

1311748672 is a wasteful number, since it uses less digits than its factorization.

1311748672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15435 (or 15425 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The square root of 1311748672 is about 36218.0710695642. The cubic root of 1311748672 is about 1094.6708272946.

The spelling of 1311748672 in words is "one billion, three hundred eleven million, seven hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 206 208 412 416 824 832 1339 1648 2678 3296 5356 6592 10712 15307 21424 30614 42848 61228 85696 122456 198991 244912 397982 489824 795964 979648 1576621 1591928 3153242 3183856 6306484 6367712 12612968 12735424 20496073 25225936 40992146 50451872 81984292 100903744 163968584 327937168 655874336 1311748672