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14469013368 = 2333107757827
BaseRepresentation
bin11010111100110101…
…11001111101111000
31101100101000000222000
431132122321331320
5214113031411433
610351425101000
71021361404305
oct153632717570
941311000860
1014469013368
116155420997
122979787760
131497834b94
149b38c40ac
1559a3ca113
hex35e6b9f78

14469013368 has 128 divisors (see below), whose sum is σ = 40670035200. Its totient is φ = 4765848192.

The previous prime is 14469013367. The next prime is 14469013381. The reversal of 14469013368 is 86331096441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14469013367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17495371 + ... + 17496197.

It is an arithmetic number, because the mean of its divisors is an integer number (317734650).

Almost surely, 214469013368 is an apocalyptic number.

14469013368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14469013368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20335017600).

14469013368 is an abundant number, since it is smaller than the sum of its proper divisors (26201021832).

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

14469013368 is a wasteful number, since it uses less digits than its factorization.

14469013368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 14469013368 in words is "fourteen billion, four hundred sixty-nine million, thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 757 827 856 963 1284 1514 1654 1926 2271 2481 2568 2889 3028 3308 3852 4542 4962 5778 6056 6616 6813 7443 7704 9084 9924 11556 13626 14886 18168 19848 20439 22329 23112 27252 29772 40878 44658 54504 59544 80999 81756 88489 89316 161998 163512 176978 178632 242997 265467 323996 353956 485994 530934 626039 647992 707912 728991 796401 971988 1061868 1252078 1457982 1592802 1878117 1943976 2123736 2186973 2389203 2504156 2915964 3185604 3756234 4373946 4778406 5008312 5634351 5831928 6371208 7512468 8747892 9556812 11268702 15024936 16903053 17495784 19113624 22537404 33806106 45074808 66986173 67612212 133972346 135224424 200958519 267944692 401917038 535889384 602875557 803834076 1205751114 1607668152 1808626671 2411502228 3617253342 4823004456 7234506684 14469013368