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27860915340 = 22325154782863
BaseRepresentation
bin11001111100101000…
…111101010010001100
32122220200020010212100
4121330220331102030
5424024343242330
620444340035100
72004263605266
oct317450752214
978820203770
1027860915340
11108a7840075
125496692a90
13282017122b
1414c4306b36
15ad0e41060
hex67ca3d48c

27860915340 has 36 divisors (see below), whose sum is σ = 84511443744. Its totient is φ = 7429577376.

The previous prime is 27860915311. The next prime is 27860915363. The reversal of 27860915340 is 4351906872.

27860915340 is a `hidden beast` number, since 2 + 7 + 8 + 609 + 1 + 5 + 34 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77391252 + ... + 77391611.

It is an arithmetic number, because the mean of its divisors is an integer number (2347540104).

It is a 1-persistent number, because it is pandigital, but 2⋅27860915340 = 55721830680 is not.

Almost surely, 227860915340 is an apocalyptic number.

27860915340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27860915340 is an abundant number, since it is smaller than the sum of its proper divisors (56650528404).

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

27860915340 is a wasteful number, since it uses less digits than its factorization.

27860915340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154782878 (or 154782873 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 27860915340 in words is "twenty-seven billion, eight hundred sixty million, nine hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 154782863 309565726 464348589 619131452 773914315 928697178 1393045767 1547828630 1857394356 2321742945 2786091534 3095657260 4643485890 5572183068 6965228835 9286971780 13930457670 27860915340