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29828831284 = 227233110931367
BaseRepresentation
bin11011110001111011…
…111101100000110100
32211222211012122001001
4123301323331200310
5442042140100114
621411515213044
72104120611460
oct336173754064
984884178031
1029828831284
111171766348a
125945747184
132a74a93b35
14162d80d4a0
15b98ab7374
hex6f1efd834

29828831284 has 96 divisors (see below), whose sum is σ = 64365428736. Its totient is φ = 11814042240.

The previous prime is 29828831269. The next prime is 29828831287. The reversal of 29828831284 is 48213882892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29828831287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21819969 + ... + 21821335.

It is an arithmetic number, because the mean of its divisors is an integer number (670473216).

Almost surely, 229828831284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29828831284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32182714368).

29828831284 is an abundant number, since it is smaller than the sum of its proper divisors (34536597452).

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

29828831284 is a wasteful number, since it uses less digits than its factorization.

29828831284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2523 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 55.

The spelling of 29828831284 in words is "twenty-nine billion, eight hundred twenty-eight million, eight hundred thirty-one thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 124 161 217 322 434 644 713 868 1093 1367 1426 2186 2734 2852 4372 4991 5468 7651 9569 9982 15302 19138 19964 25139 30604 31441 33883 38276 42377 50278 62882 67766 84754 100556 125764 135532 169508 175973 220087 237181 296639 351946 440174 474362 593278 703892 779309 880348 948724 974671 1186556 1494131 1558618 1949342 2988262 3117236 3898684 5455163 5976524 6822697 10458917 10910326 13645394 20917834 21820652 27290788 34365013 41835668 46318061 68730026 92636122 137460052 185272244 240555091 324226427 481110182 648452854 962220364 1065315403 1296905708 2130630806 4261261612 7457207821 14914415642 29828831284