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85045673960 = 23513223952639
BaseRepresentation
bin100111100110100011…
…1011111111111101000
322010111222102212110022
41033031013133333220
52343133143031320
6103022555540012
76100340205212
oct1171507377750
9263458385408
1085045673960
113308207a665
121459575a608
138034595a00
14418ad295b2
15232b448325
hex13cd1dffe8

85045673960 has 96 divisors (see below), whose sum is σ = 208075392000. Its totient is φ = 31269498624.

The previous prime is 85045673927. The next prime is 85045674031. The reversal of 85045673960 is 6937654058.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1589321 + ... + 1641959.

It is an arithmetic number, because the mean of its divisors is an integer number (2167452000).

Almost surely, 285045673960 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 85045673960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104037696000).

85045673960 is an abundant number, since it is smaller than the sum of its proper divisors (123029718040).

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

85045673960 is a wasteful number, since it uses less digits than its factorization.

85045673960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52915 (or 52898 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 85045673960 in words is "eighty-five billion, forty-five million, six hundred seventy-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 239 260 338 478 520 676 845 956 1195 1352 1690 1912 2390 3107 3380 4780 6214 6760 9560 12428 15535 24856 31070 40391 52639 62140 80782 105278 124280 161564 201955 210556 263195 323128 403910 421112 526390 684307 807820 1052780 1368614 1615640 2105560 2737228 3421535 5474456 6843070 8895991 12580721 13686140 17791982 25161442 27372280 35583964 44479955 50322884 62903605 71167928 88959910 100645768 125807210 163549373 177919820 251614420 327098746 355839640 503228840 654197492 817746865 1308394984 1635493730 2126141849 3270987460 4252283698 6541974920 8504567396 10630709245 17009134792 21261418490 42522836980 85045673960