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27919315970 = 2571330680567
BaseRepresentation
bin11010000000000111…
…101111010000000010
32200001202010012110122
4122000013233100002
5424134321102340
620454223500242
72005603161440
oct320007572002
980052105418
1027919315970
11109277a9357
1254b2157682
13282c2ab210
1414cbd89b90
15ad6129db5
hex6801ef402

27919315970 has 32 divisors (see below), whose sum is σ = 61852025088. Its totient is φ = 8836003008.

The previous prime is 27919315937. The next prime is 27919315973. The reversal of 27919315970 is 7951391972.

It is a super-3 number, since 3×279193159703 (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27919315973) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15339374 + ... + 15341193.

It is an arithmetic number, because the mean of its divisors is an integer number (1932875784).

Almost surely, 227919315970 is an apocalyptic number.

27919315970 is an abundant number, since it is smaller than the sum of its proper divisors (33932709118).

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

27919315970 is a wasteful number, since it uses less digits than its factorization.

27919315970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30680594.

The product of its (nonzero) digits is 1071630, while the sum is 53.

The spelling of 27919315970 in words is "twenty-seven billion, nine hundred nineteen million, three hundred fifteen thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 30680567 61361134 153402835 214763969 306805670 398847371 429527938 797694742 1073819845 1994236855 2147639690 2791931597 3988473710 5583863194 13959657985 27919315970