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828713124031 = 13239307986627
BaseRepresentation
bin11000000111100110010…
…01101100000010111111
32221020001102221120101211
430003303021230002333
5102034201024432111
61432412222145251
7113605166220622
oct14036311540277
92836042846354
10828713124031
1129a500a54871
1211473a422227
13601bb8502b0
142c177907db9
1516853e6e521
hexc0f326c0bf

828713124031 has 16 divisors (see below), whose sum is σ = 896495846400. Its totient is φ = 761509068768.

The previous prime is 828713124011. The next prime is 828713124053. The reversal of 828713124031 is 130421317828.

828713124031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 828713124031 - 215 = 828713091263 is a prime.

It is a super-2 number, since 2×8287131240312 (a number of 25 digits) 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 (828713124011) 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, 9523140 + ... + 9609766.

It is an arithmetic number, because the mean of its divisors is an integer number (56030990400).

Almost surely, 2828713124031 is an apocalyptic number.

828713124031 is a deficient number, since it is larger than the sum of its proper divisors (67782722369).

828713124031 is a wasteful number, since it uses less digits than its factorization.

828713124031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89958.

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 828713124031 in words is "eight hundred twenty-eight billion, seven hundred thirteen million, one hundred twenty-four thousand, thirty-one".

Divisors: 1 13 239 3079 3107 40027 86627 735881 1126151 9566453 20703853 266724533 269150089 3467418929 63747163387 828713124031