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6288490000 = 2454132612
BaseRepresentation
bin1011101101101001…
…01011111000010000
3121020020220101120001
411312310223320100
5100334323140000
62520000055344
7311556166042
oct56664537020
917206811501
106288490000
112737763681
121276004554
13792a96900
14439267a92
1526c12146a
hex176d2be10

6288490000 has 225 divisors, whose sum is σ = 16761008979. Its totient is φ = 2283840000.

The previous prime is 6288489989. The next prime is 6288490001. The reversal of 6288490000 is 948826.

The square root of 6288490000 is 79300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 522213904 + 5766276096 = 22852^2 + 75936^2 .

It is not an unprimeable number, because it can be changed into a prime (6288490001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 103089970 + ... + 103090030.

Almost surely, 26288490000 is an apocalyptic number.

6288490000 is the 79300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6288490000

6288490000 is an abundant number, since it is smaller than the sum of its proper divisors (10472518979).

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

6288490000 is an equidigital number, since it uses as much as digits as its factorization.

6288490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The cubic root of 6288490000 is about 1845.7893034671.

The spelling of 6288490000 in words is "six billion, two hundred eighty-eight million, four hundred ninety thousand".