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6045949728 = 2533713131587
BaseRepresentation
bin1011010000101110…
…11101111100100000
3120121100112001212000
411220113131330200
544340230342403
62435533404000
7302552503410
oct55027357440
916540461760
106045949728
112622865575
121208939600
13754766760
14414d70640
15255bb27a3
hex1685ddf20

6045949728 has 384 divisors, whose sum is σ = 21906339840. Its totient is φ = 1579668480.

The previous prime is 6045949709. The next prime is 6045949729. The reversal of 6045949728 is 8279495406.

6045949728 is a `hidden beast` number, since 604 + 5 + 9 + 4 + 9 + 7 + 28 = 666.

It is a super-2 number, since 2×60459497282 = 73107016227006547968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6045949729) 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 63 ways as a sum of consecutive naturals, for example, 10299451 + ... + 10300037.

It is an arithmetic number, because the mean of its divisors is an integer number (57047760).

Almost surely, 26045949728 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 6045949728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10953169920).

6045949728 is an abundant number, since it is smaller than the sum of its proper divisors (15860390112).

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

6045949728 is a wasteful number, since it uses less digits than its factorization.

6045949728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 6045949728 is about 77755.7054369646. The cubic root of 6045949728 is about 1821.7474791242.

The spelling of 6045949728 in words is "six billion, forty-five million, nine hundred forty-nine thousand, seven hundred twenty-eight".