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85060846600 = 235237101113809
BaseRepresentation
bin100111100111000000…
…1011000010000001000
322010120000222201101221
41033032001120100020
52343201034042400
6103024301051424
76100613160262
oct1171601302010
9263500881357
1085060846600
113308a6a3034
121459a856b74
138037778ac2
14418cd58b32
15232c943c1a
hex13ce058408

85060846600 has 96 divisors (see below), whose sum is σ = 205124315400. Its totient is φ = 32776704000.

The previous prime is 85060846579. The next prime is 85060846627. The reversal of 85060846600 is 664806058.

It can be written as a sum of positive squares in 12 ways, for example, as 32796485604 + 52264360996 = 181098^2 + 228614^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690496 + ... + 804304.

Almost surely, 285060846600 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 85060846600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102562157700).

85060846600 is an abundant number, since it is smaller than the sum of its proper divisors (120063468800).

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

85060846600 is a wasteful number, since it uses less digits than its factorization.

85060846600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113963 (or 113954 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 85060846600 in words is "eighty-five billion, sixty million, eight hundred forty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 101 148 185 200 202 296 370 404 505 740 808 925 1010 1480 1850 2020 2525 3700 3737 4040 5050 7400 7474 10100 14948 18685 20200 29896 37370 74740 93425 113809 149480 186850 227618 373700 455236 569045 747400 910472 1138090 2276180 2845225 4210933 4552360 5690450 8421866 11380900 11494709 16843732 21054665 22761800 22989418 33687464 42109330 45978836 57473545 84218660 91957672 105273325 114947090 168437320 210546650 229894180 287367725 421093300 425304233 459788360 574735450 842186600 850608466 1149470900 1701216932 2126521165 2298941800 3402433864 4253042330 8506084660 10632605825 17012169320 21265211650 42530423300 85060846600