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85046989308 = 223192313659
BaseRepresentation
bin100111100110100110…
…0100001000111111100
322010112001220200202220
41033031030201013330
52343134012124213
6103023044045340
76100354324101
oct1171514410774
9263461820686
1085046989308
1133082898926
1214596093850
138034936618
14418b18caa8
15232b607e23
hex13cd3211fc

85046989308 has 144 divisors (see below), whose sum is σ = 216746449920. Its totient is φ = 25951151520.

The previous prime is 85046989267. The next prime is 85046989337. The reversal of 85046989308 is 80398964058.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129054283 + ... + 129054941.

It is an arithmetic number, because the mean of its divisors is an integer number (1505183680).

Almost surely, 285046989308 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 85046989308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108373224960).

85046989308 is an abundant number, since it is smaller than the sum of its proper divisors (131699460612).

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

85046989308 is a wasteful number, since it uses less digits than its factorization.

85046989308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 85046989308 in words is "eighty-five billion, forty-six million, nine hundred eighty-nine thousand, three hundred eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 361 372 589 659 722 961 1083 1178 1318 1444 1767 1922 1977 2166 2356 2636 2883 3534 3844 3954 4332 5766 7068 7908 11191 11532 12521 18259 20429 22382 25042 29791 33573 36518 37563 40858 44764 50084 54777 59582 61287 67146 73036 75126 81716 89373 109554 119164 122574 134292 150252 178746 219108 237899 245148 346921 357492 388151 475798 566029 633299 693842 713697 776302 951596 1040763 1132058 1164453 1266598 1387684 1427394 1552604 1698087 1899897 2081526 2264116 2328906 2533196 2854788 3396174 3799794 4163052 4657812 6792348 7374869 7599588 10754551 12032681 14749738 19632269 21509102 22124607 24065362 29499476 32263653 36098043 39264538 43018204 44249214 48130724 58896807 64527306 72196086 78529076 88498428 117793614 129054612 144392172 228620939 235587228 373013111 457241878 685862817 746026222 914483756 1119039333 1371725634 1492052444 2238078666 2743451268 4476157332 7087249109 14174498218 21261747327 28348996436 42523494654 85046989308