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21428792394174 = 23311311697685753
BaseRepresentation
bin1001101111101010001111…
…00011110000000110111110
32210212120110101102110202000
410313311013203300012332
510302042131323103144
6113324130141443130
74341115311004044
oct467650743600676
983776411373660
1021428792394174
116911999728210
1224a10632704a6
13bc595a027629
14541232762394
1527262aad0769
hex137d478f01be

21428792394174 has 128 divisors (see below), whose sum is σ = 53656026255360. Its totient is φ = 6280391116800.

The previous prime is 21428792394089. The next prime is 21428792394239. The reversal of 21428792394174 is 47149329782412.

21428792394174 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 8 + 79 + 2 + 394 + 174 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30905682 + ... + 31591434.

It is an arithmetic number, because the mean of its divisors is an integer number (419187705120).

Almost surely, 221428792394174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21428792394174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26828013127680).

21428792394174 is an abundant number, since it is smaller than the sum of its proper divisors (32227233861186).

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

21428792394174 is a wasteful number, since it uses less digits than its factorization.

21428792394174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687503 (or 687497 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 21428792394174 in words is "twenty-one trillion, four hundred twenty-eight billion, seven hundred ninety-two million, three hundred ninety-four thousand, one hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 1697 2046 3069 3394 5091 6138 9207 10182 15273 18414 18667 30546 37334 45819 52607 56001 91638 105214 112002 157821 168003 315642 336006 473463 504009 578677 685753 946926 1008018 1157354 1371506 1420389 1736031 2057259 2840778 3472062 4114518 5208093 6171777 7543283 10416186 12343554 15086566 15624279 18515331 21258343 22629849 31248558 37030662 42516686 45259698 63775029 67889547 127550058 135779094 191325087 203668641 233841773 382650174 407337282 467683546 573975261 701525319 1147950522 1163722841 1403050638 2104575957 2327445682 3491168523 4209151914 6313727871 6982337046 10473505569 12627455742 12800951251 20947011138 25601902502 31420516707 36075408071 38402853753 62841033414 72150816142 76805707506 108226224213 115208561259 216452448426 230417122518 324678672639 345625683777 396829488781 649357345278 691251367554 793658977562 974036017917 1190488466343 1948072035834 2380976932686 3571465399029 7142930798058 10714396197087 21428792394174