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85959904129 = 1125393077801
BaseRepresentation
bin101000000001110011…
…1000000101110000001
322012212200201120110221
41100003213000232001
52402021213413004
6103253415023041
76132111062251
oct1200347005601
9265780646427
1085959904129
1133501141290
12147ab96aa81
13814bb024c8
14423650b961
152381836354
hex14039c0b81

85959904129 has 8 divisors (see below), whose sum is σ = 93811404960. Its totient is φ = 78114564000.

The previous prime is 85959904103. The next prime is 85959904159. The reversal of 85959904129 is 92140995958.

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

It is not a de Polignac number, because 85959904129 - 25 = 85959904097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85959904159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1510972 + ... + 1566829.

It is an arithmetic number, because the mean of its divisors is an integer number (11726425620).

Almost surely, 285959904129 is an apocalyptic number.

It is an amenable number.

85959904129 is a deficient number, since it is larger than the sum of its proper divisors (7851500831).

85959904129 is a wasteful number, since it uses less digits than its factorization.

85959904129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080351.

The product of its (nonzero) digits is 10497600, while the sum is 61.

The spelling of 85959904129 in words is "eighty-five billion, nine hundred fifty-nine million, nine hundred four thousand, one hundred twenty-nine".

Divisors: 1 11 2539 27929 3077801 33855811 7814536739 85959904129