Search a number
-
+
85223965056 = 273597152981
BaseRepresentation
bin100111101011110111…
…1101000000110000000
322010222101220222212020
41033113233220012000
52344014313340211
6103052405201440
76104633515266
oct1172757500600
9263871828766
1085223965056
113316378537a
1214625400280
1380624bbab9
1441a689a436
15233be15306
hex13d7be8180

85223965056 has 128 divisors (see below), whose sum is σ = 233459884800. Its totient is φ = 27532646400.

The previous prime is 85223964937. The next prime is 85223965067. The reversal of 85223965056 is 65056932258.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1582086 + ... + 1635066.

It is an arithmetic number, because the mean of its divisors is an integer number (1823905350).

Almost surely, 285223965056 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 85223965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116729942400).

85223965056 is an abundant number, since it is smaller than the sum of its proper divisors (148235919744).

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

85223965056 is a wasteful number, since it uses less digits than its factorization.

85223965056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53128 (or 53116 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 85223965056 in words is "eighty-five billion, two hundred twenty-three million, nine hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 71 96 118 128 142 177 192 213 236 284 354 384 426 472 568 708 852 944 1136 1416 1704 1888 2272 2832 3408 3776 4189 4544 5664 6816 7552 8378 9088 11328 12567 13632 16756 22656 25134 27264 33512 50268 52981 67024 100536 105962 134048 158943 201072 211924 268096 317886 402144 423848 536192 635772 804288 847696 1271544 1608576 1695392 2543088 3125879 3390784 3761651 5086176 6251758 6781568 7523302 9377637 10172352 11284953 12503516 15046604 18755274 20344704 22569906 25007032 30093208 37510548 45139812 50014064 60186416 75021096 90279624 100028128 120372832 150042192 180559248 200056256 221937409 240745664 300084384 361118496 400112512 443874818 481491328 600168768 665812227 722236992 887749636 1200337536 1331624454 1444473984 1775499272 2663248908 3550998544 5326497816 7101997088 10652995632 14203994176 21305991264 28407988352 42611982528 85223965056