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85341432792 = 23371182156249
BaseRepresentation
bin100111101111010111…
…1101110101111011000
322011021120221222022010
41033132233232233120
52344234401322132
6103112203025520
76110561131650
oct1173657565730
9264246858263
1085341432792
1133214017650
121465880b2a0
13808093a235
1441b8317360
1523473ba6cc
hex13debeebd8

85341432792 has 128 divisors (see below), whose sum is σ = 266328000000. Its totient is φ = 22139212800.

The previous prime is 85341432791. The next prime is 85341432797. The reversal of 85341432792 is 29723414358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85341432791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1489084 + ... + 1545332.

It is an arithmetic number, because the mean of its divisors is an integer number (2080687500).

Almost surely, 285341432792 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 85341432792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133164000000).

85341432792 is an abundant number, since it is smaller than the sum of its proper divisors (180986567208).

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

85341432792 is a wasteful number, since it uses less digits than its factorization.

85341432792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57097 (or 57093 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 85341432792 in words is "eighty-five billion, three hundred forty-one million, four hundred thirty-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 821 924 1642 1848 2463 3284 4926 5747 6568 9031 9852 11494 17241 18062 19704 22988 27093 34482 36124 45976 54186 56249 63217 68964 72248 108372 112498 126434 137928 168747 189651 216744 224996 252868 337494 379302 393743 449992 505736 618739 674988 758604 787486 1181229 1237478 1349976 1517208 1574972 1856217 2362458 2474956 3149944 3712434 4331173 4724916 4949912 7424868 8662346 9449832 12993519 14849736 17324692 25987038 34649384 46180429 51974076 92360858 103948152 138541287 184721716 277082574 323263003 369443432 507984719 554165148 646526006 969789009 1015969438 1108330296 1293052012 1523954157 1939578018 2031938876 2586104024 3047908314 3555893033 3879156036 4063877752 6095816628 7111786066 7758312072 10667679099 12191633256 14223572132 21335358198 28447144264 42670716396 85341432792