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828041813188 = 222916094436477
BaseRepresentation
bin11000000110010110010…
…00110101110011000100
32221011022122202110001021
430003023020311303010
5102031312201010223
61432221441440524
7113552435165302
oct14031310656304
92834278673037
10828041813188
1129a197020017
12114591640144
1360112747345
142c1126bb272
151681506765d
hexc0cb235cc4

828041813188 has 24 divisors (see below), whose sum is σ = 1499973211800. Its totient is φ = 399495790848.

The previous prime is 828041813173. The next prime is 828041813189. The reversal of 828041813188 is 881318140828.

It can be written as a sum of positive squares in 4 ways, for example, as 120959275264 + 707082537924 = 347792^2 + 840882^2 .

It is not an unprimeable number, because it can be changed into a prime (828041813189) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2031595 + ... + 2404882.

It is an arithmetic number, because the mean of its divisors is an integer number (62498883825).

Almost surely, 2828041813188 is an apocalyptic number.

It is an amenable number.

828041813188 is a deficient number, since it is larger than the sum of its proper divisors (671931398612).

828041813188 is a wasteful number, since it uses less digits than its factorization.

828041813188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438119 (or 4438117 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 52.

The spelling of 828041813188 in words is "eight hundred twenty-eight billion, forty-one million, eight hundred thirteen thousand, one hundred eighty-eight".

Divisors: 1 2 4 29 58 116 1609 3218 6436 46661 93322 186644 4436477 8872954 17745908 128657833 257315666 514631332 7138291493 14276582986 28553165972 207010453297 414020906594 828041813188