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85911204240 = 24325119321117
BaseRepresentation
bin101000000000010110…
…1001111000110010000
322012202022002100210100
41100000231033012100
52401421232013430
6103244515132400
76130650121131
oct1200055170620
9265668070710
1085911204240
11334866a9344
12147975a4100
1381419b0ac4
14422dc71c88
15237c416960
hex1400b4f190

85911204240 has 60 divisors (see below), whose sum is σ = 288518463324. Its totient is φ = 22909654272.

The previous prime is 85911204191. The next prime is 85911204259. The reversal of 85911204240 is 4240211958.

85911204240 is a `hidden beast` number, since 8 + 591 + 1 + 20 + 4 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17049047184 + 68862157056 = 130572^2 + 262416^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85911204195 and 85911204204.

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 11 ways as a sum of consecutive naturals, for example, 59659839 + ... + 59661278.

Almost surely, 285911204240 is an apocalyptic number.

85911204240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85911204240 is an abundant number, since it is smaller than the sum of its proper divisors (202607259084).

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

85911204240 is a wasteful number, since it uses less digits than its factorization.

85911204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119321136 (or 119321127 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 85911204240 in words is "eighty-five billion, nine hundred eleven million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 119321117 238642234 357963351 477284468 596605585 715926702 954568936 1073890053 1193211170 1431853404 1789816755 1909137872 2147780106 2386422340 2863706808 3579633510 4295560212 4772844680 5369450265 5727413616 7159267020 8591120424 9545689360 10738900530 14318534040 17182240848 21477801060 28637068080 42955602120 85911204240