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20041728390 = 23251998311923
BaseRepresentation
bin10010101010100101…
…001000000110000110
31220201202001021211200
4102222211020012012
5312021140302030
613112415443330
71306436611005
oct225245100606
956652037750
1020041728390
1185550401a2
123a73b26546
131b752280a8
14d81a68c3c
157c475ed60
hex4aa948186

20041728390 has 96 divisors (see below), whose sum is σ = 54911450880. Its totient is φ = 5057598528.

The previous prime is 20041728379. The next prime is 20041728461. The reversal of 20041728390 is 9382714002.

20041728390 is a `hidden beast` number, since 200 + 41 + 7 + 28 + 390 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1674969 + ... + 1686891.

It is an arithmetic number, because the mean of its divisors is an integer number (571994280).

Almost surely, 220041728390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20041728390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27455725440).

20041728390 is an abundant number, since it is smaller than the sum of its proper divisors (34869722490).

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

20041728390 is a wasteful number, since it uses less digits than its factorization.

20041728390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12938 (or 12935 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20041728390 in words is "twenty billion, forty-one million, seven hundred twenty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 983 1710 1966 2949 4915 5898 8847 9830 11923 14745 17694 18677 23846 29490 35769 37354 44235 56031 59615 71538 88470 93385 107307 112062 119230 168093 178845 186770 214614 226537 280155 336186 357690 453074 536535 560310 679611 840465 1073070 1132685 1359222 1680930 2038833 2265370 3398055 4077666 6796110 10194165 11720309 20388330 23440618 35160927 58601545 70321854 105482781 117203090 175804635 210965562 222685871 351609270 445371742 527413905 668057613 1054827810 1113429355 1336115226 2004172839 2226858710 3340288065 4008345678 6680576130 10020864195 20041728390