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85422016350 = 2325211163105871
BaseRepresentation
bin100111110001110001…
…1001000011101011110
322011111012121001011100
41033203203020131132
52344421014010400
6103124202133530
76112560105306
oct1174343103536
9264435531140
1085422016350
1133255557230
121467b7b12a6
138094543108
1441c4cd2606
15234e4d7100
hex13e38c875e

85422016350 has 144 divisors (see below), whose sum is σ = 251902520064. Its totient is φ = 20581128000.

The previous prime is 85422016349. The next prime is 85422016357. The reversal of 85422016350 is 5361022458.

85422016350 is a `hidden beast` number, since 8 + 542 + 2 + 0 + 1 + 63 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85422016357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 753915 + ... + 859785.

It is an arithmetic number, because the mean of its divisors is an integer number (1749323056).

Almost surely, 285422016350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85422016350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125951260032).

85422016350 is an abundant number, since it is smaller than the sum of its proper divisors (166480503714).

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

85422016350 is a wasteful number, since it uses less digits than its factorization.

85422016350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106063 (or 106055 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 85422016350 in words is "eighty-five billion, four hundred twenty-two million, sixteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 163 165 198 225 275 326 330 450 489 495 550 815 825 978 990 1467 1630 1650 1793 2445 2475 2934 3586 4075 4890 4950 5379 7335 8150 8965 10758 12225 14670 16137 17930 24450 26895 32274 36675 44825 53790 73350 80685 89650 105871 134475 161370 211742 268950 317613 403425 529355 635226 806850 952839 1058710 1164581 1588065 1905678 2329162 2646775 3176130 3493743 4764195 5293550 5822905 6987486 7940325 9528390 10481229 11645810 15880650 17256973 17468715 20962458 23820975 29114525 34513946 34937430 47641950 51770919 52406145 58229050 86284865 87343575 103541838 104812290 155312757 172569730 174687150 189826703 258854595 262030725 310625514 379653406 431424325 517709190 524061450 569480109 776563785 862848650 949133515 1138960218 1294272975 1553127570 1708440327 1898267030 2588545950 2847400545 3416880654 3882818925 4745667575 5694801090 7765637850 8542201635 9491335150 14237002725 17084403270 28474005450 42711008175 85422016350