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2063368000 = 2653257921
BaseRepresentation
bin111101011111100…
…0111111101000000
312022210120221210001
41322333013331000
513211210234000
6540425045344
7102063224101
oct17277077500
95283527701
102063368000
11969798a11
12497026854
1326b633315
141580723a8
15c122d46a
hex7afc7f40

2063368000 has 56 divisors (see below), whose sum is σ = 5109950664. Its totient is φ = 825344000.

The previous prime is 2063367989. The next prime is 2063368007. The reversal of 2063368000 is 8633602.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 2063339776 = 168^2 + 45424^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2063368000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2063368007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120961 + ... + 136960.

It is an arithmetic number, because the mean of its divisors is an integer number (91249119).

Almost surely, 22063368000 is an apocalyptic number.

2063368000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2063368000 is an abundant number, since it is smaller than the sum of its proper divisors (3046582664).

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

2063368000 is an equidigital number, since it uses as much as digits as its factorization.

2063368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257948 (or 257928 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2063368000 is about 45424.3106717097. The cubic root of 2063368000 is about 1273.0893849039.

It can be divided in two parts, 20 and 63368000, that multiplied together give a square (1267360000 = 356002).

The spelling of 2063368000 in words is "two billion, sixty-three million, three hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 257921 515842 1031684 1289605 2063368 2579210 4126736 5158420 6448025 8253472 10316840 12896050 16506944 20633680 25792100 32240125 41267360 51584200 64480250 82534720 103168400 128960500 206336800 257921000 412673600 515842000 1031684000 2063368000