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85586340696 = 233591573671049
BaseRepresentation
bin100111110110101010…
…1111110101101011000
322011220122210120210020
41033231111332231120
52400240100400241
6103152352150440
76116623615113
oct1175525765530
9264818716706
1085586340696
113332a29257a
1214706838420
1380bc5b8c5c
1441dca6957a
15235db45b66
hex13ed57eb58

85586340696 has 128 divisors (see below), whose sum is σ = 219784320000. Its totient is φ = 27764186112.

The previous prime is 85586340689. The next prime is 85586340737. The reversal of 85586340696 is 69604368558.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 81587980 + ... + 81589028.

It is an arithmetic number, because the mean of its divisors is an integer number (1717065000).

Almost surely, 285586340696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85586340696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109892160000).

85586340696 is an abundant number, since it is smaller than the sum of its proper divisors (134197979304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85586340696 is a wasteful number, since it uses less digits than its factorization.

85586340696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 85586340696 in words is "eighty-five billion, five hundred eighty-six million, three hundred forty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 59 118 157 177 236 314 354 367 471 472 628 708 734 942 1049 1101 1256 1416 1468 1884 2098 2202 2936 3147 3768 4196 4404 6294 8392 8808 9263 12588 18526 21653 25176 27789 37052 43306 55578 57619 61891 64959 74104 86612 111156 115238 123782 129918 164693 172857 173224 185673 222312 230476 247564 259836 329386 345714 371346 384983 460952 494079 495128 519672 658772 691428 742692 769966 988158 1154949 1317544 1382856 1485384 1539932 1976316 2309898 3079864 3399521 3952632 4619796 6799042 9239592 9716887 10198563 13598084 19433774 20397126 22713997 27196168 29150661 38867548 40794252 45427994 58301322 60442331 68141991 77735096 81588504 90855988 116602644 120884662 136283982 181326993 181711976 233205288 241769324 272567964 362653986 483538648 545135928 725307972 1450615944 3566097529 7132195058 10698292587 14264390116 21396585174 28528780232 42793170348 85586340696