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6296739904 = 26721321092
BaseRepresentation
bin1011101110101000…
…01010000001000000
3121020211102112022001
411313110022001000
5100343431134104
62520452553344
7312016256200
oct56724120100
917224375261
106296739904
112741388984
121278922854
137946c4a00
1443a3b4400
1526cc00aa4
hex17750a040

6296739904 has 189 divisors, whose sum is σ = 15884921367. Its totient is φ = 2468164608.

The previous prime is 6296739899. The next prime is 6296739907. The reversal of 6296739904 is 4099376926.

The square root of 6296739904 is 79352.

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

It can be written as a sum of positive squares in 4 ways, for example, as 220225600 + 6076514304 = 14840^2 + 77952^2 .

It is not an unprimeable number, because it can be changed into a prime (6296739907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57768202 + ... + 57768310.

It is an arithmetic number, because the mean of its divisors is an integer number (84047203).

Almost surely, 26296739904 is an apocalyptic number.

6296739904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6296739904 is the 79352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6296739904

6296739904 is an abundant number, since it is smaller than the sum of its proper divisors (9588181463).

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

6296739904 is a wasteful number, since it uses less digits than its factorization.

6296739904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 55.

The cubic root of 6296739904 is about 1846.5961177344.

The spelling of 6296739904 in words is "six billion, two hundred ninety-six million, seven hundred thirty-nine thousand, nine hundred four".