Base | Representation |
---|---|
bin | 10011111011010111000101… |
… | …011010001101011011010001 |
3 | 102111022111122000020100000000 |
4 | 103323113011122031123101 |
5 | 42441412030113012134 |
6 | 510222122310520213 |
7 | 24313635266324100 |
oct | 2373270532153321 |
9 | 374274560210000 |
10 | 87642119657169 |
11 | 25a1a8a57a2900 |
12 | 99b5768666069 |
13 | 39b980237b7bc |
14 | 178dc88d64037 |
15 | a1eb8cad8e99 |
hex | 4fb5c568d6d1 |
87642119657169 has 729 divisors, whose sum is σ = 179670383358921. Its totient is φ = 42586167143520.
The previous prime is 87642119657167. The next prime is 87642119657203. The reversal of 87642119657169 is 96175691124678.
The square root of 87642119657169 is 9361737.
It is a perfect power (a square), and thus also a powerful number.
87642119657169 is a `hidden beast` number, since 8 + 7 + 6 + 42 + 1 + 1 + 9 + 6 + 571 + 6 + 9 = 666.
It is a tau number, because it is divible by the number of its divisors (729).
It is not a de Polignac number, because 87642119657169 - 21 = 87642119657167 is a prime.
It is a super-2 number, since 2×876421196571692 (a number of 29 digits) contains 22 as substring.
Its product of digits (274337280) is a multiple of the sum of its prime factors (256).
It is a junction number, because it is equal to n+sod(n) for n = 87642119657097 and 87642119657106.
It is not an unprimeable number, because it can be changed into a prime (87642119657167) by changing a digit.
It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 1109393919672 + ... + 1109393919750.
Almost surely, 287642119657169 is an apocalyptic number.
87642119657169 is the 9361737-th square number.
87642119657169 is the 4680869-th centered octagonal number.
It is an amenable number.
87642119657169 is an abundant number, since it is smaller than the sum of its proper divisors (92028263701752).
87642119657169 is an frugal number, since it uses more digits than its factorization.
87642119657169 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 256 (or 119 counting only the distinct ones).
The product of its digits is 274337280, while the sum is 72.
It can be divided in two parts, 87642119 and 657169, that added together give a palindrome (88299288).
The spelling of 87642119657169 in words is "eighty-seven trillion, six hundred forty-two billion, one hundred nineteen million, six hundred fifty-seven thousand, one hundred sixty-nine".
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