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2720052816 = 2431310143159
BaseRepresentation
bin1010001000100000…
…1011011001010000
321000120020222222220
42202020023121100
521032313142231
61125524101040
7124256032065
oct24210133120
97016228886
102720052816
111176442a38
1263ab34780
133446b7c10
141bb372c6c
1510dbe6896
hexa220b650

2720052816 has 80 divisors (see below), whose sum is σ = 7642427520. Its totient is φ = 828633600.

The previous prime is 2720052773. The next prime is 2720052823. The reversal of 2720052816 is 6182500272.

It is a super-3 number, since 3×27200528163 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41445 + ... + 84603.

It is an arithmetic number, because the mean of its divisors is an integer number (95530344).

Almost surely, 22720052816 is an apocalyptic number.

2720052816 is a gapful number since it is divisible by the number (26) 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 2720052816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821213760).

2720052816 is an abundant number, since it is smaller than the sum of its proper divisors (4922374704).

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

2720052816 is a wasteful number, since it uses less digits than its factorization.

2720052816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43284 (or 43278 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2720052816 is about 52154.1255894488. The cubic root of 2720052816 is about 1395.9154443960.

The spelling of 2720052816 in words is "two billion, seven hundred twenty million, fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 101 104 156 202 208 303 312 404 606 624 808 1212 1313 1616 2424 2626 3939 4848 5252 7878 10504 15756 21008 31512 43159 63024 86318 129477 172636 258954 345272 517908 561067 690544 1035816 1122134 1683201 2071632 2244268 3366402 4359059 4488536 6732804 8718118 8977072 13077177 13465608 17436236 26154354 26931216 34872472 52308708 56667767 69744944 104617416 113335534 170003301 209234832 226671068 340006602 453342136 680013204 906684272 1360026408 2720052816