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16505245456 = 247221052609
BaseRepresentation
bin11110101111100101…
…00000111100010000
31120121021112100021021
433113302200330100
5232300320323311
611325444405224
71123005162100
oct172762407420
946537470237
1016505245456
116aaa865227
1232476a6814
131730656a3b
14b280d1200
15669048171
hex3d7ca0f10

16505245456 has 30 divisors (see below), whose sum is σ = 37199961870. Its totient is φ = 7073676288.

The previous prime is 16505245453. The next prime is 16505245459. The reversal of 16505245456 is 65454250561.

16505245456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16505245453) and next prime (16505245459).

It can be written as a sum of positive squares in only one way, i.e., 12954992400 + 3550253056 = 113820^2 + 59584^2 .

It is a super-3 number, since 3×165052454563 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16505245453) 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 5 ways as a sum of consecutive naturals, for example, 10525521 + ... + 10527088.

It is an arithmetic number, because the mean of its divisors is an integer number (1239998729).

Almost surely, 216505245456 is an apocalyptic number.

16505245456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16505245456 is an abundant number, since it is smaller than the sum of its proper divisors (20694716414).

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

16505245456 is a wasteful number, since it uses less digits than its factorization.

16505245456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21052631 (or 21052618 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 43.

The spelling of 16505245456 in words is "sixteen billion, five hundred five million, two hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 21052609 42105218 84210436 147368263 168420872 294736526 336841744 589473052 1031577841 1178946104 2063155682 2357892208 4126311364 8252622728 16505245456