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25973060813812 = 22722353149729587
BaseRepresentation
bin1011110011111010100110…
…00100000100001111110100
310101222000000021011121101101
411321331103010010033310
511401020312032020222
6131123505344535444
75320330442153500
oct571752304041764
9111860007147341
1025973060813812
118304127793152
122ab5905621584
131165331436478
1465b162319300
15300943c9c927
hex179f531043f4

25973060813812 has 144 divisors (see below), whose sum is σ = 56590930972800. Its totient is φ = 10376323845888.

The previous prime is 25973060813809. The next prime is 25973060813873. The reversal of 25973060813812 is 21831806037952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35234883 + ... + 35964469.

It is an arithmetic number, because the mean of its divisors is an integer number (392992576200).

Almost surely, 225973060813812 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 25973060813812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28295465486400).

25973060813812 is an abundant number, since it is smaller than the sum of its proper divisors (30617870158988).

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

25973060813812 is a wasteful number, since it uses less digits than its factorization.

25973060813812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729830 (or 729821 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 25973060813812 in words is "twenty-five trillion, nine hundred seventy-three billion, sixty million, eight hundred thirteen thousand, eight hundred twelve".

Divisors: 1 2 4 7 14 23 28 46 49 53 92 98 106 149 161 196 212 298 322 371 596 644 742 1043 1127 1219 1484 2086 2254 2438 2597 3427 4172 4508 4876 5194 6854 7301 7897 8533 10388 13708 14602 15794 17066 23989 29204 31588 34132 47978 55279 59731 95956 110558 119462 167923 181631 221116 238924 335846 363262 386953 671692 726524 729587 773906 1271417 1459174 1547812 2542834 2918348 5085668 5107109 8899919 10214218 16780501 17799838 20428436 33561002 35599676 35749763 38668111 67122004 71499526 77336222 108708463 117463507 142999052 154672444 217416926 234927014 270676777 434833852 469854028 541353554 760959241 822244549 889366553 1082707108 1521918482 1644489098 1778733106 1894737439 2500294649 3043836964 3288978196 3557466212 3789474878 5000589298 5326714687 5761548539 6225565871 7578949756 10001178596 10653429374 11523097078 12451131742 17502062543 21306858748 23046194156 24902263484 35004125086 40330839773 43578961097 70008250172 80661679546 87157922194 122514437801 132515616397 161323359092 174315844388 245028875602 265031232794 282315878411 490057751204 530062465588 564631756822 927609314779 1129263513644 1855218629558 3710437259116 6493265203453 12986530406906 25973060813812