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87163161813 = 32721315203761
BaseRepresentation
bin101000100101101010…
…1000100110011010101
322022222112212101201100
41101023111010303111
52412002232134223
6104013041020313
76203661436200
oct1211325046325
9268875771640
1087163161813
1133a69372622
1214a86924699
1382b11976c0
14430c248937
1524022b7043
hex144b544cd5

87163161813 has 36 divisors (see below), whose sum is σ = 157723826988. Its totient is φ = 45976170240.

The previous prime is 87163161781. The next prime is 87163161817. The reversal of 87163161813 is 31816136178.

87163161813 is a `hidden beast` number, since 8 + 7 + 1 + 631 + 6 + 1 + 8 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9646579089 + 77516582724 = 98217^2 + 278418^2 .

It is not a de Polignac number, because 87163161813 - 25 = 87163161781 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87163161817) 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 35 ways as a sum of consecutive naturals, for example, 7596148 + ... + 7607613.

Almost surely, 287163161813 is an apocalyptic number.

It is an amenable number.

87163161813 is a deficient number, since it is larger than the sum of its proper divisors (70560665175).

87163161813 is a wasteful number, since it uses less digits than its factorization.

87163161813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15203794 (or 15203784 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 87163161813 in words is "eighty-seven billion, one hundred sixty-three million, one hundred sixty-one thousand, eight hundred thirteen".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 15203761 45611283 106426327 136833849 197648893 319278981 592946679 744984289 957836943 1383542251 1778840037 2234952867 4150626753 6704858601 9684795757 12451880259 29054387271 87163161813