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828788102884 = 2272650272
BaseRepresentation
bin11000000111101111001…
…11101101011011100100
32221020020200000220001101
430003313213231123210
5102034324223243014
61432423501205444
7113610066432100
oct14036747553344
92836220026041
10828788102884
1129a53a306565
1211475b560884
1360201243091
142c183864900
151685a830474
hexc0f79ed6e4

828788102884 has 27 divisors (see below), whose sum is σ = 1687201727043. Its totient is φ = 355189438968.

The previous prime is 828788102869. The next prime is 828788102897. The reversal of 828788102884 is 488201887828.

The square root of 828788102884 is 910378.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12712779 + ... + 12777805.

Almost surely, 2828788102884 is an apocalyptic number.

828788102884 is the 910378-th square number.

It is an amenable number.

828788102884 is an abundant number, since it is smaller than the sum of its proper divisors (858413624159).

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

828788102884 is an frugal number, since it uses more digits than its factorization.

828788102884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130072 (or 65036 counting only the distinct ones).

The product of its (nonzero) digits is 29360128, while the sum is 64.

Multiplying 828788102884 by its sum of digits (64), we get a square (53042438584576 = 72830242).

The spelling of 828788102884 in words is "eight hundred twenty-eight billion, seven hundred eighty-eight million, one hundred two thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 65027 130054 260108 455189 910378 1820756 3186323 6372646 12745292 4228510729 8457021458 16914042916 29599575103 59199150206 118398300412 207197025721 414394051442 828788102884