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86177048831 = 19311031420493
BaseRepresentation
bin101000001000010001…
…1010110100011111111
322020102211022200000022
41100100203112203333
52402442311030311
6103331133122355
76140355554216
oct1202043264377
9266384280008
1086177048831
1133602774315
12148506293bb
138184ab03b3
1442572b407d
15239592a5db
hex14108d68ff

86177048831 has 16 divisors (see below), whose sum is σ = 94548080640. Its totient is φ = 78240699360.

The previous prime is 86177048791. The next prime is 86177048861. The reversal of 86177048831 is 13884077168.

It is a cyclic number.

It is not a de Polignac number, because 86177048831 - 226 = 86109939967 is a prime.

It is a super-3 number, since 3×861770488313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86177048861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649580 + ... + 770913.

It is an arithmetic number, because the mean of its divisors is an integer number (5909255040).

Almost surely, 286177048831 is an apocalyptic number.

86177048831 is a deficient number, since it is larger than the sum of its proper divisors (8371031809).

86177048831 is a wasteful number, since it uses less digits than its factorization.

86177048831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420646.

The product of its (nonzero) digits is 1806336, while the sum is 53.

The spelling of 86177048831 in words is "eighty-six billion, one hundred seventy-seven million, forty-eight thousand, eight hundred thirty-one".

Divisors: 1 19 31 103 589 1957 3193 60667 1420493 26989367 44035283 146310779 836670377 2779904801 4535634149 86177048831