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828828754164 = 223223023020949
BaseRepresentation
bin11000000111110100000…
…10110010000011110100
32221020100111112012010100
430003322002302003310
5102034420130113124
61432431512354100
7113611102111665
oct14037202620364
92836314465110
10828828754164
1129a560251464
121147710a5930
13602097a71a8
142c18900736c
151685e1b01c9
hexc0fa0b20f4

828828754164 has 18 divisors (see below), whose sum is σ = 2095094906450. Its totient is φ = 276276251376.

The previous prime is 828828754139. The next prime is 828828754213. The reversal of 828828754164 is 461457828828.

828828754164 is a `hidden beast` number, since 8 + 2 + 8 + 8 + 2 + 87 + 541 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 545911144164 + 282917610000 = 738858^2 + 531900^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11511510439 + ... + 11511510510.

Almost surely, 2828828754164 is an apocalyptic number.

It is an amenable number.

828828754164 is an abundant number, since it is smaller than the sum of its proper divisors (1266266152286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

828828754164 is a wasteful number, since it uses less digits than its factorization.

828828754164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23023020959 (or 23023020954 counting only the distinct ones).

The product of its digits is 55050240, while the sum is 63.

The spelling of 828828754164 in words is "eight hundred twenty-eight billion, eight hundred twenty-eight million, seven hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 23023020949 46046041898 69069062847 92092083796 138138125694 207207188541 276276251388 414414377082 828828754164