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2543068944 = 2432131358477
BaseRepresentation
bin1001011110010100…
…0010011100010000
320120020020021202200
42113211002130100
520202011201234
61100202443200
7120006505113
oct22745023420
96506207680
102543068944
111095550379
125ab803500
13316b2bb30
141a1a6257a
15ed3d6d99
hex97942710

2543068944 has 60 divisors (see below), whose sum is σ = 7664532876. Its totient is φ = 782482176.

The previous prime is 2543068943. The next prime is 2543068961. The reversal of 2543068944 is 4498603452.

2543068944 is a `hidden beast` number, since 2 + 543 + 0 + 68 + 9 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1109689344 + 1433379600 = 33312^2 + 37860^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2543068944.

It is not an unprimeable number, because it can be changed into a prime (2543068943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 677367 + ... + 681110.

Almost surely, 22543068944 is an apocalyptic number.

2543068944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2543068944 is an abundant number, since it is smaller than the sum of its proper divisors (5121463932).

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

2543068944 is a wasteful number, since it uses less digits than its factorization.

2543068944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358504 (or 1358495 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2543068944 is about 50428.8503140811. The cubic root of 2543068944 is about 1364.9582823462.

The spelling of 2543068944 in words is "two billion, five hundred forty-three million, sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 1358477 2716954 4075431 5433908 8150862 10867816 12226293 16301724 17660201 21735632 24452586 32603448 35320402 48905172 52980603 65206896 70640804 97810344 105961206 141281608 158941809 195620688 211922412 282563216 317883618 423844824 635767236 847689648 1271534472 2543068944