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2013788075 = 521337916349
BaseRepresentation
bin111100000000111…
…1111011110101011
312012100022000220112
41320001333132223
513111012204300
6531454244535
7100621626155
oct17001773653
95170260815
102013788075
11943804872
124824b674b
132612941a0
14151647ad5
15bbbd7e35
hex7807f7ab

2013788075 has 24 divisors (see below), whose sum is σ = 2696442000. Its totient is φ = 1483090560.

The previous prime is 2013788041. The next prime is 2013788089. The reversal of 2013788075 is 5708873102.

It is not a de Polignac number, because 2013788075 - 212 = 2013783979 is a prime.

It is a super-2 number, since 2×20137880752 = 8110684822024411250, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 115001 + ... + 131349.

It is an arithmetic number, because the mean of its divisors is an integer number (112351750).

Almost surely, 22013788075 is an apocalyptic number.

2013788075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2013788075 is a deficient number, since it is larger than the sum of its proper divisors (682653925).

2013788075 is a wasteful number, since it uses less digits than its factorization.

2013788075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16751 (or 16746 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 2013788075 is about 44875.2501385786. The cubic root of 2013788075 is about 1262.8097361144.

The spelling of 2013788075 in words is "two billion, thirteen million, seven hundred eighty-eight thousand, seventy-five".

Divisors: 1 5 13 25 65 325 379 1895 4927 9475 16349 24635 81745 123175 212537 408725 1062685 5313425 6196271 30981355 80551523 154906775 402757615 2013788075