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5981001895 = 5113141671277
BaseRepresentation
bin1011001000111111…
…01101100010100111
3120102211022101011201
411210133231202213
544222114030040
62425253343331
7301133451211
oct54437554247
916384271151
105981001895
11259a135280
1211ab037b47
1374417669b
1440a4a55b1
15250133a9a
hex1647ed8a7

5981001895 has 64 divisors (see below), whose sum is σ = 8409526272. Its totient is φ = 4042368000.

The previous prime is 5981001883. The next prime is 5981001899.

5981001895 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5981001895 - 211 = 5980999847 is a prime.

It is a Smith number, since the sum of its digits (46) 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (5981001899) 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 63 ways as a sum of consecutive naturals, for example, 4682997 + ... + 4684273.

It is an arithmetic number, because the mean of its divisors is an integer number (131398848).

Almost surely, 25981001895 is an apocalyptic number.

5981001895 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5981001895 is a deficient number, since it is larger than the sum of its proper divisors (2428524377).

5981001895 is a wasteful number, since it uses less digits than its factorization.

5981001895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432.

The product of its (nonzero) digits is 129600, while the sum is 46.

The square root of 5981001895 is about 77336.9374555264. The cubic root of 5981001895 is about 1815.2006846019.

It can be divided in two parts, 598100 and 1895, that added together give a palindrome (599995).

The spelling of 5981001895 in words is "five billion, nine hundred eighty-one million, one thousand, eight hundred ninety-five".

Divisors: 1 5 11 31 41 55 67 155 205 335 341 451 737 1271 1277 1705 2077 2255 2747 3685 6355 6385 10385 13735 13981 14047 22847 30217 39587 52357 69905 70235 85157 85559 114235 151085 197935 261785 425785 427795 435457 575927 936727 941149 1623067 2177285 2652329 2879635 3507919 4683635 4705745 8115335 13261645 17539595 17853737 29175619 38587109 89268685 108745489 145878095 192935545 543727445 1196200379 5981001895