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2668519944 = 233316375793
BaseRepresentation
bin1001111100001110…
…0110001000001000
320212222021212012000
42133003212020020
520431120114234
61120443351000
7123062021346
oct23703461010
96788255160
102668519944
11114a345592
12625822460
13336b13bac
141b459a996
15109417899
hex9f0e6208

2668519944 has 64 divisors (see below), whose sum is σ = 7458129600. Its totient is φ = 884037888.

The previous prime is 2668519943. The next prime is 2668519951. The reversal of 2668519944 is 4499158662.

2668519944 is a `hidden beast` number, since 26 + 68 + 519 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2668519943) 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 15 ways as a sum of consecutive naturals, for example, 2689 + ... + 73104.

It is an arithmetic number, because the mean of its divisors is an integer number (116533275).

Almost surely, 22668519944 is an apocalyptic number.

2668519944 is a gapful number since it is divisible by the number (24) 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 2668519944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729064800).

2668519944 is an abundant number, since it is smaller than the sum of its proper divisors (4789609656).

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

2668519944 is a wasteful number, since it uses less digits than its factorization.

2668519944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75971 (or 75961 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 2668519944 is about 51657.7191134103. The cubic root of 2668519944 is about 1387.0437219932.

The spelling of 2668519944 in words is "two billion, six hundred sixty-eight million, five hundred nineteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 326 489 652 978 1304 1467 1956 2934 3912 4401 5868 8802 11736 17604 35208 75793 151586 227379 303172 454758 606344 682137 909516 1364274 1819032 2046411 2728548 4092822 5457096 8185644 12354259 16371288 24708518 37062777 49417036 74125554 98834072 111188331 148251108 222376662 296502216 333564993 444753324 667129986 889506648 1334259972 2668519944