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2094608768 = 2774749739
BaseRepresentation
bin111110011011001…
…0011000110000000
312101222101011001112
41330312103012000
513242204440033
6543502422452
7102622611050
oct17466230600
95358334045
102094608768
1198539662a
124a5591a28
13274c50c95
1415c285560
15c3d4ec48
hex7cd93180

2094608768 has 64 divisors (see below), whose sum is σ = 4870540800. Its totient is φ = 878572032.

The previous prime is 2094608767. The next prime is 2094608771. The reversal of 2094608768 is 8678064902.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2094608767) 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, 17243 + ... + 66981.

It is an arithmetic number, because the mean of its divisors is an integer number (76102200).

Almost surely, 22094608768 is an apocalyptic number.

2094608768 is a gapful number since it is divisible by the number (28) 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 2094608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435270400).

2094608768 is an abundant number, since it is smaller than the sum of its proper divisors (2775932032).

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

2094608768 is an equidigital number, since it uses as much as digits as its factorization.

2094608768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49807 (or 49795 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The square root of 2094608768 is about 45766.8959838877. The cubic root of 2094608768 is about 1279.4823688235.

The spelling of 2094608768 in words is "two billion, ninety-four million, six hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 329 376 448 658 752 896 1316 1504 2632 3008 5264 6016 10528 21056 42112 49739 99478 198956 348173 397912 696346 795824 1392692 1591648 2337733 2785384 3183296 4675466 5570768 6366592 9350932 11141536 16364131 18701864 22283072 32728262 37403728 44566144 65456524 74807456 130913048 149614912 261826096 299229824 523652192 1047304384 2094608768