Search a number
-
+
13308002848 = 2571271313571
BaseRepresentation
bin11000110010011100…
…00000001000100000
31021100110100120221101
430121032000020200
5204223322042343
610040312404144
7650533105060
oct143116001040
937313316841
1013308002848
11570a025568
1226b49a6654
1313411422ca
149036233a0
1552d4e1e4d
hex319380220

13308002848 has 96 divisors (see below), whose sum is σ = 30417666048. Its totient is φ = 5613753600.

The previous prime is 13308002831. The next prime is 13308002887. The reversal of 13308002848 is 84820080331.

It is a super-2 number, since 2×133080028482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3724903 + ... + 3728473.

It is an arithmetic number, because the mean of its divisors is an integer number (316850688).

Almost surely, 213308002848 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 13308002848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15208833024).

13308002848 is an abundant number, since it is smaller than the sum of its proper divisors (17109663200).

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

13308002848 is a wasteful number, since it uses less digits than its factorization.

13308002848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 13308002848 in words is "thirteen billion, three hundred eight million, two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 131 224 254 262 508 524 889 917 1016 1048 1778 1834 2032 2096 3556 3571 3668 4064 4192 7112 7142 7336 14224 14284 14672 16637 24997 28448 28568 29344 33274 49994 57136 66548 99988 114272 116459 133096 199976 232918 266192 399952 453517 465836 467801 532384 799904 907034 931672 935602 1814068 1863344 1871204 3174619 3274607 3628136 3726688 3742408 6349238 6549214 7256272 7484816 12698476 13098428 14512544 14969632 25396952 26196856 50793904 52393712 59410727 101587808 104787424 118821454 237642908 415875089 475285816 831750178 950571632 1663500356 1901143264 3327000712 6654001424 13308002848