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87968510208 = 283238180777
BaseRepresentation
bin101000111101101010…
…1001111000100000000
322102001200021100000200
41101323111033010000
52420124414311313
6104225010245200
76232640666535
oct1217325170400
9272050240020
1087968510208
1134341a26807
1215070586800
1383abca0b07
1443871a6d8c
15244cd48b73
hex147b54f100

87968510208 has 54 divisors (see below), whose sum is σ = 253634908254. Its totient is φ = 29322835968.

The previous prime is 87968510207. The next prime is 87968510209. The reversal of 87968510208 is 80201586978.

It is an interprime number because it is at equal distance from previous prime (87968510207) and next prime (87968510209).

It can be written as a sum of positive squares in only one way, i.e., 54330015744 + 33638494464 = 233088^2 + 183408^2 .

It is not an unprimeable number, because it can be changed into a prime (87968510207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19088085 + ... + 19092692.

Almost surely, 287968510208 is an apocalyptic number.

It is an amenable number.

87968510208 is an abundant number, since it is smaller than the sum of its proper divisors (165666398046).

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

87968510208 is a wasteful number, since it uses less digits than its factorization.

87968510208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38180799 (or 38180782 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 87968510208 in words is "eighty-seven billion, nine hundred sixty-eight million, five hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 38180777 76361554 114542331 152723108 229084662 305446216 343626993 458169324 610892432 687253986 916338648 1221784864 1374507972 1832677296 2443569728 2749015944 3665354592 4887139456 5498031888 7330709184 9774278912 10996063776 14661418368 21992127552 29322836736 43984255104 87968510208