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19242256905588 = 22319227133434903
BaseRepresentation
bin1000110000000001011111…
…11000110011010101110100
32112010112121222010222121110
410120000233320303111310
510010231120231434323
6104531434253515020
74024131031005213
oct430005770632564
975115558128543
1019242256905588
116149660418a12
1221a9340aa2a70
13a976c9b53912
144a748a11507a
15235806788793
hex11802fe33574

19242256905588 has 144 divisors (see below), whose sum is σ = 47584843063296. Its totient is φ = 6051034290240.

The previous prime is 19242256905583. The next prime is 19242256905589. The reversal of 19242256905588 is 88550965224291.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19242256905583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3924585945 + ... + 3924590847.

Almost surely, 219242256905588 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 19242256905588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23792421531648).

19242256905588 is an abundant number, since it is smaller than the sum of its proper divisors (28342586157708).

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

19242256905588 is a wasteful number, since it uses less digits than its factorization.

19242256905588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8562 (or 8541 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 66.

The spelling of 19242256905588 in words is "nineteen trillion, two hundred forty-two billion, two hundred fifty-six million, nine hundred five thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 271 361 542 722 813 1083 1084 1444 1626 2166 3252 3343 4332 4903 5149 6686 9806 10029 10298 13372 14709 15447 19612 20058 20596 29418 30894 40116 58836 61788 63517 93157 97831 127034 186314 190551 195662 254068 279471 293493 372628 381102 391324 558942 586986 762204 905953 1117884 1173972 1206823 1328713 1769983 1811906 2413646 2657426 2717859 3539966 3620469 3623812 3986139 4827292 5309949 5314852 5435718 7079932 7240938 7972278 10619898 10871436 14481876 15944556 16390729 17213107 21239796 25245547 32781458 34426214 49172187 50491094 51639321 65562916 68852428 75736641 98344374 100982188 103278642 151473282 196688748 206557284 302946564 311423851 327049033 479665393 622847702 654098066 934271553 959330786 981147099 1245695404 1308196132 1438996179 1868543106 1918661572 1962294198 2877992358 3737086212 3924588396 4441887559 5755984716 5917053169 8883775118 11834106338 13325662677 17751159507 17767550236 23668212676 26651325354 35502319014 53302650708 71004638028 84395863621 168791727242 253187590863 337583454484 506375181726 1012750363452 1603521408799 3207042817598 4810564226397 6414085635196 9621128452794 19242256905588