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19926948770928 = 2433474991966793
BaseRepresentation
bin1001000011111100110101…
…01100111111010001110000
32121112222221022200120101000
410201332122230333101300
510102440342341132203
6110214151444442000
74124450236562433
oct441763254772160
977488838616330
1019926948770928
116392a760a5451
122299b869a9300
13b171459891c4
144cc68030581a
1524852b9624a3
hex121f9ab3f470

19926948770928 has 160 divisors (see below), whose sum is σ = 58531789440000. Its totient is φ = 6487959043584.

The previous prime is 19926948770909. The next prime is 19926948770969. The reversal of 19926948770928 is 82907784962991.

19926948770928 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 69 + 487 + 70 + 9 + 2 + 8 = 666.

19926948770928 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9148300 + ... + 11115092.

It is an arithmetic number, because the mean of its divisors is an integer number (365823684000).

Almost surely, 219926948770928 is an apocalyptic number.

19926948770928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19926948770928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29265894720000).

19926948770928 is an abundant number, since it is smaller than the sum of its proper divisors (38604840669072).

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

19926948770928 is a wasteful number, since it uses less digits than its factorization.

19926948770928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967356 (or 1967344 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 81.

The spelling of 19926948770928 in words is "nineteen trillion, nine hundred twenty-six billion, nine hundred forty-eight million, seven hundred seventy thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 499 564 752 846 998 1128 1269 1497 1692 1996 2256 2538 2994 3384 3992 4491 5076 5988 6768 7984 8982 10152 11976 13473 17964 20304 23453 23952 26946 35928 46906 53892 70359 71856 93812 107784 140718 187624 211077 215568 281436 375248 422154 562872 633231 844308 1125744 1266462 1688616 1966793 2532924 3377232 3933586 5065848 5900379 7867172 10131696 11800758 15734344 17701137 23601516 31468688 35402274 47203032 53103411 70804548 92439271 94406064 106206822 141609096 184878542 212413644 277317813 283218192 369757084 424827288 554635626 739514168 831953439 849654576 981429707 1109271252 1479028336 1663906878 1962859414 2218542504 2495860317 2944289121 3327813756 3925718828 4437085008 4991720634 5888578242 6655627512 7851437656 8832867363 9983441268 11777156484 13311255024 15702875312 17665734726 19966882536 23554312968 26498602089 35331469452 39933765072 46127196229 47108625936 52997204178 70662938904 92254392458 105994408356 138381588687 141325877808 184508784916 211988816712 276763177374 369017569832 415144766061 423977633424 553526354748 738035139664 830289532122 1107052709496 1245434298183 1660579064244 2214105418992 2490868596366 3321158128488 4981737192732 6642316256976 9963474385464 19926948770928