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85503211729 = 1373751119971
BaseRepresentation
bin100111110100001100…
…0110111100011010001
322011200212101012021121
41033220120313203101
52400102310233404
6103140222322241
76114564210445
oct1175030674321
9264625335247
1085503211729
1133297374551
12146a2a29381
1380a8301610
1441d19ca825
1523566c4e54
hex13e86378d1

85503211729 has 16 divisors (see below), whose sum is σ = 93466825984. Its totient is φ = 77740560000.

The previous prime is 85503211727. The next prime is 85503211733. The reversal of 85503211729 is 92711230558.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 85503211729 - 21 = 85503211727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85503211721) 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 15 ways as a sum of consecutive naturals, for example, 652714 + ... + 772684.

It is an arithmetic number, because the mean of its divisors is an integer number (5841676624).

Almost surely, 285503211729 is an apocalyptic number.

It is an amenable number.

85503211729 is a deficient number, since it is larger than the sum of its proper divisors (7963614255).

85503211729 is a wasteful number, since it uses less digits than its factorization.

85503211729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120808.

The product of its (nonzero) digits is 151200, while the sum is 43.

It can be divided in two parts, 855032 and 11729, that added together give a square (866761 = 9312).

The spelling of 85503211729 in words is "eighty-five billion, five hundred three million, two hundred eleven thousand, seven hundred twenty-nine".

Divisors: 1 13 73 751 949 9763 54823 119971 712699 1559623 8757883 90098221 113852479 1171276873 6577170133 85503211729