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324869034896 = 24725373107101
BaseRepresentation
bin1001011101000111011…
…01000001001110010000
31011001112200101220012122
410232203231001032100
520310312433104041
6405124234513412
732320362143300
oct4564355011620
91131480356178
10324869034896
1111585a1122aa
1252b65b95868
132483419c283
1411a1bd57600
1586b5b11c4b
hex4ba3b41390

324869034896 has 120 divisors (see below), whose sum is σ = 756239939064. Its totient is φ = 134730086400.

The previous prime is 324869034829. The next prime is 324869034943. The reversal of 324869034896 is 698430968423.

It can be written as a sum of positive squares in 4 ways, for example, as 17913145600 + 306955889296 = 133840^2 + 554036^2 .

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 23 ways as a sum of consecutive naturals, for example, 2979746 + ... + 3086846.

Almost surely, 2324869034896 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 324869034896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378119969532).

324869034896 is an abundant number, since it is smaller than the sum of its proper divisors (431370904168).

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

324869034896 is a wasteful number, since it uses less digits than its factorization.

324869034896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107249 (or 107236 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 62.

The spelling of 324869034896 in words is "three hundred twenty-four billion, eight hundred sixty-nine million, thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 73 98 106 112 146 196 212 292 371 392 424 511 584 742 784 848 1022 1168 1484 2044 2597 2968 3577 3869 4088 5194 5936 7154 7738 8176 10388 14308 15476 20776 27083 28616 30952 41552 54166 57232 61904 107101 108332 189581 214202 216664 379162 428404 433328 749707 758324 856808 1499414 1516648 1713616 2998828 3033296 5247949 5676353 5997656 7818373 10495898 11352706 11995312 15636746 20991796 22705412 31273492 39734471 41983592 45410824 54728611 62546984 79468942 83967184 90821648 109457222 125093968 158937884 218914444 278141297 317875768 383100277 414373769 437828888 556282594 635751536 766200554 828747538 875657776 1112565188 1532401108 1657495076 2225130376 2900616383 3064802216 3314990152 4450260752 5801232766 6129604432 6629980304 11602465532 20304314681 23204931064 40608629362 46409862128 81217258724 162434517448 324869034896