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86812507521 = 3261158128429
BaseRepresentation
bin101000011011001101…
…1011011110110000001
322022002010001022110100
41100312123123312001
52410243000220041
6103514153153013
76162203065365
oct1206633336601
9268063038410
1086812507521
11338a9440893
12149a93bb769
13825664275c
1442b784b2a5
1523d15ee6b6
hex14366dbd81

86812507521 has 12 divisors (see below), whose sum is σ = 127451514580. Its totient is φ = 56926234080.

The previous prime is 86812507493. The next prime is 86812507531. The reversal of 86812507521 is 12570521868.

86812507521 is a `hidden beast` number, since 8 + 68 + 12 + 50 + 7 + 521 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1921857921 + 84890649600 = 43839^2 + 291360^2 .

It is not a de Polignac number, because 86812507521 - 29 = 86812507009 is a prime.

It is a super-2 number, since 2×868125075212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86812507531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79063666 + ... + 79064763.

Almost surely, 286812507521 is an apocalyptic number.

It is an amenable number.

86812507521 is a deficient number, since it is larger than the sum of its proper divisors (40639007059).

86812507521 is a wasteful number, since it uses less digits than its factorization.

86812507521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158128496 (or 158128493 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 86812507521 in words is "eighty-six billion, eight hundred twelve million, five hundred seven thousand, five hundred twenty-one".

Divisors: 1 3 9 61 183 549 158128429 474385287 1423155861 9645834169 28937502507 86812507521