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87825459852 = 223213187661239
BaseRepresentation
bin101000111001011001…
…1100010101010001100
322101200201002121211100
41101302303202222030
52414331304203402
6104202500223100
76226253043234
oct1216263425214
9271621077740
1087825459852
1134279200979
121503069aa90
138388466230
1443721aacc4
1524404dd71c
hex1472ce2a8c

87825459852 has 36 divisors (see below), whose sum is σ = 239080419760. Its totient is φ = 27023218272.

The previous prime is 87825459851. The next prime is 87825459863. The reversal of 87825459852 is 25895452878.

87825459852 is a `hidden beast` number, since 8 + 7 + 8 + 2 + 545 + 9 + 85 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×878254598522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87825459852.

It is not an unprimeable number, because it can be changed into a prime (87825459851) 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 11 ways as a sum of consecutive naturals, for example, 93830152 + ... + 93831087.

Almost surely, 287825459852 is an apocalyptic number.

It is an amenable number.

87825459852 is an abundant number, since it is smaller than the sum of its proper divisors (151254959908).

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

87825459852 is a wasteful number, since it uses less digits than its factorization.

87825459852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187661262 (or 187661257 counting only the distinct ones).

The product of its digits is 64512000, while the sum is 63.

The spelling of 87825459852 in words is "eighty-seven billion, eight hundred twenty-five million, four hundred fifty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 187661239 375322478 562983717 750644956 1125967434 1688951151 2251934868 2439596107 3377902302 4879192214 6755804604 7318788321 9758384428 14637576642 21956364963 29275153284 43912729926 87825459852