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87688426839 = 31321993372579
BaseRepresentation
bin101000110101010100…
…0110011010101010111
322101100011020121212120
41101222220303111113
52414041214124324
6104141123151023
76223000221126
oct1215250632527
9271304217776
1087688426839
1134208915a52
1214bb2815473
138365c57500
14435bcd9abd
152433471179
hex146aa33557

87688426839 has 48 divisors (see below), whose sum is σ = 127666656000. Its totient is φ = 53510865408.

The previous prime is 87688426829. The next prime is 87688426883. The reversal of 87688426839 is 93862488678.

It is a happy number.

It is not a de Polignac number, because 87688426839 - 28 = 87688426583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87688426829) 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 47 ways as a sum of consecutive naturals, for example, 33999652 + ... + 34002230.

It is an arithmetic number, because the mean of its divisors is an integer number (2659722000).

Almost surely, 287688426839 is an apocalyptic number.

87688426839 is a deficient number, since it is larger than the sum of its proper divisors (39978229161).

87688426839 is a wasteful number, since it uses less digits than its factorization.

87688426839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3131 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 69.

The spelling of 87688426839 in words is "eighty-seven billion, six hundred eighty-eight million, four hundred twenty-six thousand, eight hundred thirty-nine".

Divisors: 1 3 13 39 169 199 337 507 597 1011 2579 2587 4381 7737 7761 13143 33527 33631 56953 67063 100581 100893 170859 201189 435851 513221 869123 871819 1307553 1539663 2607369 2615457 6671873 11298599 11333647 20015619 33895797 34000941 86734349 146881787 172955477 260203047 440645361 518866431 2248421201 6745263603 29229475613 87688426839