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823980200512340 = 225313118834839539
BaseRepresentation
bin1011101101011001111101011…
…1001001110100101101010100
311000001110201220220110020211202
42323112133113021310231110
51331000042422312343330
612040243140050252032
7335362414334016134
oct27326372711645524
94001421826406752
10823980200512340
1121960004a084853
12784b8a71b87018
132949cccbba6891
1410768bd6a40ac4
15653d938c3d445
hex2ed67d7274b54

823980200512340 has 96 divisors (see below), whose sum is σ = 1793949492142080. Its totient is φ = 317574355190400.

The previous prime is 823980200512321. The next prime is 823980200512369. The reversal of 823980200512340 is 43215002089328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167840291 + ... + 172679829.

It is an arithmetic number, because the mean of its divisors is an integer number (18686973876480).

Almost surely, 2823980200512340 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 823980200512340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896974746071040).

823980200512340 is an abundant number, since it is smaller than the sum of its proper divisors (969969291629740).

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

823980200512340 is a wasteful number, since it uses less digits than its factorization.

823980200512340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840773 (or 4840771 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 823980200512340 in words is "eight hundred twenty-three trillion, nine hundred eighty billion, two hundred million, five hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 311 620 622 883 1244 1555 1766 3110 3532 4415 6220 8830 9641 17660 19282 27373 38564 48205 54746 96410 109492 136865 192820 273730 274613 547460 549226 1098452 1373065 2746130 4839539 5492260 8513003 9679078 17026006 19358156 24197695 34052012 42565015 48395390 85130030 96790780 150025709 170260060 300051418 600102836 750128545 1500257090 1505096629 3000514180 3010193258 4273312937 6020386516 7525483145 8546625874 15050966290 17093251748 21366564685 30101932580 42733129370 46657995499 85466258740 93315990998 132472701047 186631981996 233289977495 264945402094 466579954990 529890804188 662363505235 933159909980 1324727010470 1329000323407 2649454020940 2658000646814 5316001293628 6645001617035 13290003234070 26580006468140 41199010025617 82398020051234 164796040102468 205995050128085 411990100256170 823980200512340