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27983681540 = 22513121106637
BaseRepresentation
bin11010000011111101…
…010001100000000100
32200020020020022102122
4122003331101200010
5424302310302130
620504443225112
72010314240243
oct320375214004
980206208378
1027983681540
1110960071141
12550b818198
13283c726259
1414d674295a
15adbae12e5
hex683f51804

27983681540 has 24 divisors (see below), whose sum is σ = 58770761112. Its totient is φ = 11192514560.

The previous prime is 27983681477. The next prime is 27983681567. The reversal of 27983681540 is 4518638972.

It can be written as a sum of positive squares in 4 ways, for example, as 5428447684 + 22555233856 = 73678^2 + 150184^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209102 + ... + 315738.

It is an arithmetic number, because the mean of its divisors is an integer number (2448781713).

It is a 1-persistent number, because it is pandigital, but 2⋅27983681540 = 55967363080 is not.

Almost surely, 227983681540 is an apocalyptic number.

27983681540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27983681540 is an abundant number, since it is smaller than the sum of its proper divisors (30787079572).

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

27983681540 is a wasteful number, since it uses less digits than its factorization.

27983681540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119767 (or 119765 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 27983681540 in words is "twenty-seven billion, nine hundred eighty-three million, six hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 13121 26242 52484 65605 106637 131210 213274 262420 426548 533185 1066370 2132740 1399184077 2798368154 5596736308 6995920385 13991840770 27983681540