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86213436829 = 1317390106049
BaseRepresentation
bin101000001001010111…
…0001010010110011101
322020112100210100221221
41100102232022112131
52403031114434304
6103334513053341
76141310056532
oct1202256122635
9266470710857
1086213436829
1133621268143
1214860857251
13818c4b0b60
14425c066d89
152398c17054
hex1412b8a59d

86213436829 has 8 divisors (see below), whose sum is σ = 98306724600. Its totient is φ = 74900361216.

The previous prime is 86213436811. The next prime is 86213436851. The reversal of 86213436829 is 92863431268.

It can be written as a sum of positive squares in 4 ways, for example, as 7349632900 + 78863803929 = 85730^2 + 280827^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86213436829 - 227 = 86079219101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86213436809) 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 7 ways as a sum of consecutive naturals, for example, 195052804 + ... + 195053245.

It is an arithmetic number, because the mean of its divisors is an integer number (12288340575).

Almost surely, 286213436829 is an apocalyptic number.

It is an amenable number.

86213436829 is a deficient number, since it is larger than the sum of its proper divisors (12093287771).

86213436829 is a wasteful number, since it uses less digits than its factorization.

86213436829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390106079.

The product of its digits is 2985984, while the sum is 52.

The spelling of 86213436829 in words is "eighty-six billion, two hundred thirteen million, four hundred thirty-six thousand, eight hundred twenty-nine".

Divisors: 1 13 17 221 390106049 5071378637 6631802833 86213436829