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2872035216 = 2432173173701
BaseRepresentation
bin1010101100101111…
…1100011110010000
321102011020111122200
42223023330132100
521340220111331
61152553403200
7131112616341
oct25313743620
97364214580
102872035216
111244209626
12681a09500
1336a02c22b
141d36160c8
1511c2185e6
hexab2fc790

2872035216 has 120 divisors (see below), whose sum is σ = 8539669944. Its totient is φ = 897945600.

The previous prime is 2872035209. The next prime is 2872035241. The reversal of 2872035216 is 6125302782.

2872035216 is a `hidden beast` number, since 287 + 20 + 352 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134652816 + 2737382400 = 11604^2 + 52320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 774166 + ... + 777866.

Almost surely, 22872035216 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 2872035216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269834972).

2872035216 is an abundant number, since it is smaller than the sum of its proper divisors (5667634728).

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

2872035216 is a wasteful number, since it uses less digits than its factorization.

2872035216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2872035216 is about 53591.3725892517. The cubic root of 2872035216 is about 1421.4445420281. Note that the first 3 decimals are identical.

Adding to 2872035216 its reverse (6125302782), we get a palindrome (8997337998).

It can be divided in two parts, 28720 and 35216, that added together give a palindrome (63936).

The spelling of 2872035216 in words is "two billion, eight hundred seventy-two million, thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 317 408 612 634 816 951 1224 1268 1902 2448 2536 2853 3701 3804 5072 5389 5706 7402 7608 10778 11103 11412 14804 15216 16167 21556 22206 22824 29608 32334 33309 43112 44412 45648 48501 59216 62917 64668 66618 86224 88824 97002 125834 129336 133236 177648 188751 194004 251668 258672 266472 377502 388008 503336 532944 566253 755004 776016 1006672 1132506 1173217 1510008 2265012 2346434 3020016 3519651 4530024 4692868 7039302 9060048 9385736 10558953 14078604 18771472 19944689 21117906 28157208 39889378 42235812 56314416 59834067 79778756 84471624 119668134 159557512 168943248 179502201 239336268 319115024 359004402 478672536 718008804 957345072 1436017608 2872035216