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85896129104 = 246188008329
BaseRepresentation
bin100111111111111001…
…1101110101001010000
322012201020201110120222
41033333303232221100
52401403402112404
6103243220052212
76130405023242
oct1177763565120
9265636643528
1085896129104
1133479142155
1214792534068
13813b8331c6
14422bc6a092
15237ae39dbe
hex13ffceea50

85896129104 has 20 divisors (see below), whose sum is σ = 169152010260. Its totient is φ = 42243997440.

The previous prime is 85896129091. The next prime is 85896129113. The reversal of 85896129104 is 40192169858.

It can be written as a sum of positive squares in 2 ways, for example, as 31955137600 + 53940991504 = 178760^2 + 232252^2 .

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44003189 + ... + 44005140.

It is an arithmetic number, because the mean of its divisors is an integer number (8457600513).

Almost surely, 285896129104 is an apocalyptic number.

It is an amenable number.

85896129104 is a deficient number, since it is larger than the sum of its proper divisors (83255881156).

85896129104 is a wasteful number, since it uses less digits than its factorization.

85896129104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88008398 (or 88008392 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 53.

The spelling of 85896129104 in words is "eighty-five billion, eight hundred ninety-six million, one hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 61 122 244 488 976 88008329 176016658 352033316 704066632 1408133264 5368508069 10737016138 21474032276 42948064552 85896129104