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5741300000 = 255557413
BaseRepresentation
bin1010101100011010…
…10100100100100000
3112211010021020222202
411112031110210200
543224233100000
62345411552332
7262163146652
oct52615244440
915733236882
105741300000
1124868a5737
1211428bb6a8
137065cb447
143c670a6d2
15239085dd5
hex156354920

5741300000 has 72 divisors (see below), whose sum is σ = 14128322292. Its totient is φ = 2296480000.

The previous prime is 5741299933. The next prime is 5741300003. The reversal of 5741300000 is 31475.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1811013136 + 3930286864 = 42556^2 + 62692^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5741300003) 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, 71294 + ... + 128706.

Almost surely, 25741300000 is an apocalyptic number.

5741300000 is a gapful number since it is divisible by the number (50) 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 5741300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064161146).

5741300000 is an abundant number, since it is smaller than the sum of its proper divisors (8387022292).

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

5741300000 is an frugal number, since it uses more digits than its factorization.

5741300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57448 (or 57420 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 5741300000 is about 75771.3666235472. The cubic root of 5741300000 is about 1790.6199282182.

Adding to 5741300000 its reverse (31475), we get a palindrome (5741331475).

The spelling of 5741300000 in words is "five billion, seven hundred forty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 57413 100000 114826 229652 287065 459304 574130 918608 1148260 1435325 1837216 2296520 2870650 4593040 5741300 7176625 9186080 11482600 14353250 22965200 28706500 35883125 45930400 57413000 71766250 114826000 143532500 179415625 229652000 287065000 358831250 574130000 717662500 1148260000 1435325000 2870650000 5741300000