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20204031344 = 24717292391531
BaseRepresentation
bin10010110100010000…
…010000110101110000
31221011001110010122012
4102310100100311300
5312334213000334
613140454302052
71313450301320
oct226420206560
957131403565
1020204031344
118628715872
123aba357928
131b9ca43b43
14d99437280
157d3b1e9ce
hex4b4410d70

20204031344 has 160 divisors (see below), whose sum is σ = 49239705600. Its totient is φ = 7830466560.

The previous prime is 20204031343. The next prime is 20204031383. The reversal of 20204031344 is 44313040202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20204031343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13195859 + ... + 13197389.

It is an arithmetic number, because the mean of its divisors is an integer number (307748160).

Almost surely, 220204031344 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 20204031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24619852800).

20204031344 is an abundant number, since it is smaller than the sum of its proper divisors (29035674256).

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

20204031344 is a wasteful number, since it uses less digits than its factorization.

20204031344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 20204031344 its reverse (44313040202), we get a palindrome (64517071546).

The spelling of 20204031344 in words is "twenty billion, two hundred four million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 239 272 406 464 476 478 493 812 952 956 986 1531 1624 1673 1904 1912 1972 3062 3248 3346 3451 3824 3944 4063 6124 6692 6902 6931 7888 8126 10717 12248 13384 13804 13862 16252 21434 24496 26027 26768 27608 27724 28441 32504 42868 44399 48517 52054 55216 55448 56882 65008 85736 88798 97034 104108 110896 113764 117827 171472 177596 182189 194068 208216 227528 235654 310793 355192 364378 365909 388136 416432 455056 471308 621586 710384 728756 731818 754783 776272 824789 942616 1243172 1457512 1463636 1509566 1649578 1885232 2486344 2561363 2915024 2927272 3019132 3299156 4972688 5122726 5283481 5854544 6038264 6220453 6598312 10245452 10566962 10611361 12076528 12440906 13196624 20490904 21133924 21222722 24881812 40981808 42267848 42445444 43543171 49763624 74279527 84535696 84890888 87086342 99527248 148559054 169781776 174172684 180393137 297118108 348345368 360786274 594236216 696690736 721572548 1188472432 1262751959 1443145096 2525503918 2886290192 5051007836 10102015672 20204031344