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28431698367798 = 23311811279721101
BaseRepresentation
bin1100111011011110001010…
…10010000001010100110110
310201200001011221111012112000
412131233011102001110312
512211311104240232143
6140245201504240130
75663056663434465
oct635570522012466
9121601157435460
1028431698367798
1190718a7574550
123232306310046
1312b313670597b
1470415c8c69dc
1534489149dbd3
hex19dbc5481536

28431698367798 has 128 divisors (see below), whose sum is σ = 69038262074880. Its totient is φ = 8601558480000.

The previous prime is 28431698367701. The next prime is 28431698367799. The reversal of 28431698367798 is 89776389613482.

It is a happy number.

28431698367798 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 169 + 8 + 367 + 7 + 98 = 666.

It is a super-2 number, since 2×284316983677982 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28431698367799) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1347399448 + ... + 1347420548.

It is an arithmetic number, because the mean of its divisors is an integer number (539361422460).

Almost surely, 228431698367798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28431698367798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34519131037440).

28431698367798 is an abundant number, since it is smaller than the sum of its proper divisors (40606563707082).

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

28431698367798 is a wasteful number, since it uses less digits than its factorization.

28431698367798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24731 (or 24725 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 81.

The spelling of 28431698367798 in words is "twenty-eight trillion, four hundred thirty-one billion, six hundred ninety-eight million, three hundred sixty-seven thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 811 1622 2433 2797 4866 5594 7299 8391 8921 14598 16782 17842 21101 21897 25173 26763 30767 42202 43794 50346 53526 61534 63303 75519 80289 92301 126606 151038 160578 184602 189909 232111 240867 276903 379818 464222 481734 553806 569727 696333 830709 1139454 1392666 1661418 2088999 2268367 4177998 4536734 6266997 6805101 12533994 13610202 17112911 20415303 24952037 34225822 40830606 49904074 51338733 59019497 61245909 74856111 102677466 118038994 122491818 149712222 154016199 177058491 188242021 224568333 308032398 354116982 376484042 449136666 462048597 531175473 564726063 649214467 673704999 924097194 1062350946 1129452126 1298428934 1347409998 1593526419 1694178189 1947643401 3187052838 3388356378 3895286802 5082534567 5842930203 10165069134 11685860406 17528790609 35057581218 47864812067 95729624134 143594436201 287188872402 430783308603 526512932737 861566617206 1053025865474 1292349925809 1579538798211 2584699851618 3159077596422 4738616394633 9477232789266 14215849183899 28431698367798