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85046595712 = 2713103496211
BaseRepresentation
bin100111100110100101…
…1000001000010000000
322010112001011200212021
41033031023001002000
52343133412030322
6103023031411224
76100351064431
oct1171513010200
9263461150767
1085046595712
113308264a141
1214595b23b14
138034829420
14418b0c9488
15232b57b4c7
hex13cd2c1080

85046595712 has 64 divisors (see below), whose sum is σ = 184233591360. Its totient is φ = 38871106560.

The previous prime is 85046595661. The next prime is 85046595721. The reversal of 85046595712 is 21759564058.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 85046595712.

It is an unprimeable number.

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, 76714 + ... + 419497.

It is an arithmetic number, because the mean of its divisors is an integer number (2878649865).

Almost surely, 285046595712 is an apocalyptic number.

It is an amenable number.

85046595712 is an abundant number, since it is smaller than the sum of its proper divisors (99186995648).

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

85046595712 is a wasteful number, since it uses less digits than its factorization.

85046595712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496341 (or 496329 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 85046595712 in words is "eighty-five billion, forty-six million, five hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 206 208 412 416 824 832 1339 1648 1664 2678 3296 5356 6592 10712 13184 21424 42848 85696 171392 496211 992422 1984844 3969688 6450743 7939376 12901486 15878752 25802972 31757504 51109733 51605944 63515008 102219466 103211888 204438932 206423776 408877864 412847552 664426529 817755728 825695104 1328853058 1635511456 2657706116 3271022912 5315412232 6542045824 10630824464 21261648928 42523297856 85046595712