Search a number
-
+
85771997400 = 23352277516077
BaseRepresentation
bin100111111100001101…
…0001101000011011000
322012101121010220220110
41033320122031003120
52401130112404100
6103223023324320
76124336643235
oct1177032150330
9265347126813
1085771997400
1133415069171
1214758a506a0
13811bbc07ab
14421959678c
1523700ba250
hex13f868d0d8

85771997400 has 96 divisors (see below), whose sum is σ = 266853612240. Its totient is φ = 22789916160.

The previous prime is 85771997383. The next prime is 85771997401. The reversal of 85771997400 is 479917758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85771997401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91839 + ... + 424238.

Almost surely, 285771997400 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 85771997400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133426806120).

85771997400 is an abundant number, since it is smaller than the sum of its proper divisors (181081614840).

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

85771997400 is a wasteful number, since it uses less digits than its factorization.

85771997400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516373 (or 516364 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 57.

The spelling of 85771997400 in words is "eighty-five billion, seven hundred seventy-one million, nine hundred ninety-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 277 300 554 600 831 1108 1385 1662 2216 2770 3324 4155 5540 6648 6925 8310 11080 13850 16620 20775 27700 33240 41550 55400 83100 166200 516077 1032154 1548231 2064308 2580385 3096462 4128616 5160770 6192924 7741155 10321540 12385848 12901925 15482310 20643080 25803850 30964620 38705775 51607700 61929240 77411550 103215400 142953329 154823100 285906658 309646200 428859987 571813316 714766645 857719974 1143626632 1429533290 1715439948 2144299935 2859066580 3430879896 3573833225 4288599870 5718133160 7147666450 8577199740 10721499675 14295332900 17154399480 21442999350 28590665800 42885998700 85771997400