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85873500560 = 24510710031951
BaseRepresentation
bin100111111111001110…
…1011010000110010000
322012122200010211001202
41033332131122012100
52401332104004220
6103241051050332
76130011465641
oct1177635320620
9265580124052
1085873500560
1133467396a81
1214786a409a8
138136c3c533
144228c596c8
152378e6a275
hex13fe75a190

85873500560 has 40 divisors (see below), whose sum is σ = 201521851776. Its totient is φ = 34028374400.

The previous prime is 85873500553. The next prime is 85873500569. The reversal of 85873500560 is 6500537858.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (85873500569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5007416 + ... + 5024535.

Almost surely, 285873500560 is an apocalyptic number.

85873500560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85873500560 is an abundant number, since it is smaller than the sum of its proper divisors (115648351216).

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

85873500560 is a wasteful number, since it uses less digits than its factorization.

85873500560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10032071 (or 10032065 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 47.

The spelling of 85873500560 in words is "eighty-five billion, eight hundred seventy-three million, five hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 4280 8560 10031951 20063902 40127804 50159755 80255608 100319510 160511216 200639020 401278040 802556080 1073418757 2146837514 4293675028 5367093785 8587350056 10734187570 17174700112 21468375140 42936750280 85873500560