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85968241950 = 23522373341347
BaseRepresentation
bin101000000010000011…
…0110100010100011110
322012220021102011211010
41100010012310110132
52402030332220300
6103254313440050
76132241666623
oct1200406642436
9265807364733
1085968241950
1133505916648
12147b2710026
138150761626
14423767c34a
152382431a50
hex14041b451e

85968241950 has 96 divisors (see below), whose sum is σ = 225519065856. Its totient is φ = 21627682560.

The previous prime is 85968241943. The next prime is 85968241951. The reversal of 85968241950 is 5914286958.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85968241951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81177 + ... + 422523.

It is an arithmetic number, because the mean of its divisors is an integer number (2349156936).

Almost surely, 285968241950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85968241950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112759532928).

85968241950 is an abundant number, since it is smaller than the sum of its proper divisors (139550823906).

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

85968241950 is a wasteful number, since it uses less digits than its factorization.

85968241950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341458 (or 341453 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 85968241950 in words is "eighty-five billion, nine hundred sixty-eight million, two hundred forty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 73 75 115 138 146 150 219 230 345 365 438 575 690 730 1095 1150 1679 1725 1825 2190 3358 3450 3650 5037 5475 8395 10074 10950 16790 25185 41975 50370 83950 125925 251850 341347 682694 1024041 1706735 2048082 3413470 5120205 7850981 8533675 10240410 15701962 17067350 23552943 24918331 25601025 39254905 47105886 49836662 51202050 74754993 78509810 117764715 124591655 149509986 196274525 235529430 249183310 373774965 392549050 573121613 588823575 622958275 747549930 1146243226 1177647150 1245916550 1719364839 1868874825 2865608065 3438729678 3737749650 5731216130 8596824195 14328040325 17193648390 28656080650 42984120975 85968241950