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28431149641830 = 236513300001579
BaseRepresentation
bin1100111011011101001001…
…00100110011000001100110
310201122222202200222001000000
412131232210210303001212
512211303443302014310
6140245031223202130
75663040251360355
oct635564444630146
9121588680861000
1028431149641830
119071645857611
1232321925a6346
1312b3079b20350
14704109a8999c
1534485d20d4c0
hex19dba4933066

28431149641830 has 112 divisors (see below), whose sum is σ = 82631235188880. Its totient is φ = 6998436811584.

The previous prime is 28431149641801. The next prime is 28431149641859. The reversal of 28431149641830 is 3814694113482.

28431149641830 is a `hidden beast` number, since 2 + 8 + 4 + 31 + 1 + 496 + 41 + 83 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28431149641801) and next prime (28431149641859).

It is a super-2 number, since 2×284311496418302 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 149906020 + ... + 150095559.

It is an arithmetic number, because the mean of its divisors is an integer number (737778885615).

Almost surely, 228431149641830 is an apocalyptic number.

28431149641830 is an abundant number, since it is smaller than the sum of its proper divisors (54200085547050).

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

28431149641830 is a wasteful number, since it uses less digits than its factorization.

28431149641830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300001617 (or 300001602 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28431149641830 in words is "twenty-eight trillion, four hundred thirty-one billion, one hundred forty-nine million, six hundred forty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 729 810 1053 1170 1215 1458 1755 2106 2430 3159 3510 3645 5265 6318 7290 9477 10530 15795 18954 31590 47385 94770 300001579 600003158 900004737 1500007895 1800009474 2700014211 3000015790 3900020527 4500023685 5400028422 7800041054 8100042633 9000047370 11700061581 13500071055 16200085266 19500102635 23400123162 24300127899 27000142110 35100184743 39000205270 40500213165 48600255798 58500307905 70200369486 72900383697 81000426330 105300554229 117000615810 121500639495 145800767394 175500923715 210601108458 218701151091 243001278990 315901662687 351001847430 364501918485 437402302182 526502771145 631803325374 729003836970 947704988061 1053005542290 1093505755455 1579508313435 1895409976122 2187011510910 2843114964183 3159016626870 4738524940305 5686229928366 9477049880610 14215574820915 28431149641830