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85609600605 = 32511316835713
BaseRepresentation
bin100111110111010111…
…0101101011001011101
322011222021120022101100
41033232232231121131
52400312024204410
6103154542503313
76120325412214
oct1175656553135
9264867508340
1085609600605
113334142a041
1214712594b39
1380c4371109
144201ba207b
152360bdc8c0
hex13eebad65d

85609600605 has 24 divisors (see below), whose sum is σ = 149703168888. Its totient is φ = 45254393856.

The previous prime is 85609600591. The next prime is 85609600621. The reversal of 85609600605 is 50600690658.

It can be written as a sum of positive squares in 4 ways, for example, as 9820611801 + 75788988804 = 99099^2 + 275298^2 .

It is not a de Polignac number, because 85609600605 - 216 = 85609535069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8412772 + ... + 8422941.

It is an arithmetic number, because the mean of its divisors is an integer number (6237632037).

Almost surely, 285609600605 is an apocalyptic number.

It is an amenable number.

85609600605 is a deficient number, since it is larger than the sum of its proper divisors (64093568283).

85609600605 is a wasteful number, since it uses less digits than its factorization.

85609600605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16835837 (or 16835834 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 85609600605 in words is "eighty-five billion, six hundred nine million, six hundred thousand, six hundred five".

Divisors: 1 3 5 9 15 45 113 339 565 1017 1695 5085 16835713 50507139 84178565 151521417 252535695 757607085 1902435569 5707306707 9512177845 17121920121 28536533535 85609600605