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5649714720 = 25325131741433
BaseRepresentation
bin1010100001011111…
…11100111000100000
3112120201221020121100
411100233330320200
543032311332340
62332340554400
7260001532326
oct52057747040
915521836540
105649714720
11243a131321
1211180b2a00
136c0642a80
143b84a9d16
15230ee4830
hex150bfce20

5649714720 has 576 divisors, whose sum is σ = 22572242784. Its totient is φ = 1274019840.

The previous prime is 5649714701. The next prime is 5649714739. The reversal of 5649714720 is 274179465.

5649714720 is a `hidden beast` number, since 564 + 9 + 7 + 14 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5649714701) and next prime (5649714739).

It can be written as a sum of positive squares in 16 ways, for example, as 293231376 + 5356483344 = 17124^2 + 73188^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13047624 + ... + 13048056.

Almost surely, 25649714720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5649714720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11286121392).

5649714720 is an abundant number, since it is smaller than the sum of its proper divisors (16922528064).

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

5649714720 is a wasteful number, since it uses less digits than its factorization.

5649714720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5649714720 is about 75164.5842135776. The cubic root of 5649714720 is about 1781.0475170760.

It can be divided in two parts, 56497 and 14720, that added together give a palindrome (71217).

The spelling of 5649714720 in words is "five billion, six hundred forty-nine million, seven hundred fourteen thousand, seven hundred twenty".