Search a number
-
+
16729111456 = 2523130117471
BaseRepresentation
bin11111001010010000…
…11111101110100000
31121011212202220200121
433211020133232200
5233230123031311
611404002530024
71131364046461
oct174510375640
947155686617
1016729111456
117105169052
1232aa666914
131767b49025
14b49b26d68
1567da18b71
hex3e521fba0

16729111456 has 48 divisors (see below), whose sum is σ = 34395798528. Its totient is φ = 7994272000.

The previous prime is 16729111423. The next prime is 16729111459. The reversal of 16729111456 is 65411192761.

It is not an unprimeable number, because it can be changed into a prime (16729111459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 948801 + ... + 966271.

It is an arithmetic number, because the mean of its divisors is an integer number (716579136).

Almost surely, 216729111456 is an apocalyptic number.

16729111456 is a gapful number since it is divisible by the number (16) 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 16729111456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17197899264).

16729111456 is an abundant number, since it is smaller than the sum of its proper divisors (17666687072).

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

16729111456 is a wasteful number, since it uses less digits than its factorization.

16729111456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18805 (or 18797 counting only the distinct ones).

The product of its digits is 90720, while the sum is 43.

The spelling of 16729111456 in words is "sixteen billion, seven hundred twenty-nine million, one hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1301 2602 5204 10408 17471 20816 29923 34942 41632 59846 69884 119692 139768 239384 279536 401833 478768 559072 803666 957536 1607332 3214664 6429328 12858656 22729771 45459542 90919084 181838168 363676336 522784733 727352672 1045569466 2091138932 4182277864 8364555728 16729111456