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128879941013 = 2937181663601
BaseRepresentation
bin111100000000111010…
…1111101010110010101
3110022122212100100112122
41320001311331112111
54102421231103023
6135112344225325
712211523265155
oct1700165752625
9408585310478
10128879941013
114a72640424a
1220b8976b245
13c1cbb1c935
146348828765
1535448692c8
hex1e01d7d595

128879941013 has 16 divisors (see below), whose sum is σ = 137684142960. Its totient is φ = 120403584000.

The previous prime is 128879941009. The next prime is 128879941019. The reversal of 128879941013 is 310149978821.

It can be written as a sum of positive squares in 8 ways, for example, as 24436567684 + 104443373329 = 156322^2 + 323177^2 .

It is a cyclic number.

It is not a de Polignac number, because 128879941013 - 22 = 128879941009 is a prime.

It is a super-2 number, since 2×1288799410132 (a number of 23 digits) contains 22 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 Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128879941019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137588 + ... + 526013.

It is an arithmetic number, because the mean of its divisors is an integer number (8605258935).

Almost surely, 2128879941013 is an apocalyptic number.

It is an amenable number.

128879941013 is a deficient number, since it is larger than the sum of its proper divisors (8804201947).

128879941013 is a wasteful number, since it uses less digits than its factorization.

128879941013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663848.

The product of its (nonzero) digits is 870912, while the sum is 53.

The spelling of 128879941013 in words is "one hundred twenty-eight billion, eight hundred seventy-nine million, nine hundred forty-one thousand, thirteen".

Divisors: 1 29 37 181 1073 5249 6697 194213 663601 19244429 24553237 120111781 712043873 3483241649 4444135897 128879941013