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831719013 = 3836135449
BaseRepresentation
bin110001100100110…
…000011001100101
32010222000200222220
4301210300121211
53200410002023
6214310342553
726416331526
oct6144603145
92128020886
10831719013
11397535894
121b265aa59
1310340a438
147c66484d
154d0403e3
hex31930665

831719013 has 16 divisors (see below), whose sum is σ = 1124356800. Its totient is φ = 546804864.

The previous prime is 831719011. The next prime is 831719017. The reversal of 831719013 is 310917138.

It is not a de Polignac number, because 831719013 - 21 = 831719011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831719011) 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, 149913 + ... + 155361.

It is an arithmetic number, because the mean of its divisors is an integer number (70272300).

Almost surely, 2831719013 is an apocalyptic number.

831719013 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

831719013 is a deficient number, since it is larger than the sum of its proper divisors (292637787).

831719013 is a wasteful number, since it uses less digits than its factorization.

831719013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148.

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 831719013 is about 28839.5390566493. The cubic root of 831719013 is about 940.4279826409.

The spelling of 831719013 in words is "eight hundred thirty-one million, seven hundred nineteen thousand, thirteen".

Divisors: 1 3 83 249 613 1839 5449 16347 50879 152637 452267 1356801 3340237 10020711 277239671 831719013