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2078505013 = 13397521773
BaseRepresentation
bin111101111100011…
…0111100000110101
312100212001222212011
41323320313200311
513224044130023
6542125324221
7102336000244
oct17370674065
95325058764
102078505013
11977297642
124a0106671
13271803130
1415a09295b
15c271d50d
hex7be37835

2078505013 has 16 divisors (see below), whose sum is σ = 2251244016. Its totient is φ = 1907642880.

The previous prime is 2078505001. The next prime is 2078505047. The reversal of 2078505013 is 3105058702.

It can be written as a sum of positive squares in 8 ways, for example, as 449736849 + 1628768164 = 21207^2 + 40358^2 .

It is not a de Polignac number, because 2078505013 - 225 = 2044950581 is a prime.

It is a super-2 number, since 2×20785050132 = 8640366178132260338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078505073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2688495 + ... + 2689267.

It is an arithmetic number, because the mean of its divisors is an integer number (140702751).

Almost surely, 22078505013 is an apocalyptic number.

It is an amenable number.

2078505013 is a deficient number, since it is larger than the sum of its proper divisors (172739003).

2078505013 is a wasteful number, since it uses less digits than its factorization.

2078505013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 2078505013 is about 45590.6241786620. The cubic root of 2078505013 is about 1276.1949608010.

The spelling of 2078505013 in words is "two billion, seventy-eight million, five hundred five thousand, thirteen".

Divisors: 1 13 397 521 773 5161 6773 10049 206837 306881 402733 2688881 3989453 5235529 159885001 2078505013