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42853480992 = 25327191118773
BaseRepresentation
bin100111111010010001…
…000011101000100000
311002121112101101112200
4213322101003220200
51200230442342432
631404150453200
73044643402240
oct477221035040
9132545341480
1042853480992
11171a07445a3
12837b664200
13406c2b645a
142107553b20
1511ac287a7c
hex9fa443a20

42853480992 has 144 divisors (see below), whose sum is σ = 146604144960. Its totient is φ = 11599428096.

The previous prime is 42853480921. The next prime is 42853481023. The reversal of 42853480992 is 29908435824.

42853480992 is a `hidden beast` number, since 4 + 28 + 53 + 480 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521083 + ... + 597690.

It is an arithmetic number, because the mean of its divisors is an integer number (1018084340).

Almost surely, 242853480992 is an apocalyptic number.

42853480992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42853480992 is an abundant number, since it is smaller than the sum of its proper divisors (103750663968).

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

42853480992 is a wasteful number, since it uses less digits than its factorization.

42853480992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118815 (or 1118804 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 42853480992 in words is "forty-two billion, eight hundred fifty-three million, four hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 38304 1118773 2237546 3356319 4475092 6712638 7831411 8950184 10068957 13425276 15662822 17900368 20137914 21256687 23494233 26850552 31325644 35800736 40275828 42513374 46988466 53701104 62651288 63770061 70482699 80551656 85026748 93976932 107402208 125302576 127540122 140965398 148796809 161103312 170053496 187953864 191310183 250605152 255080244 281930796 297593618 322206624 340106992 375907728 382620366 446390427 510160488 563861592 595187236 680213984 751815456 765240732 892780854 1020320976 1127723184 1190374472 1339171281 1530481464 1785561708 2040641952 2255446368 2380748944 2678342562 3060962928 3571123416 4761497888 5356685124 6121925856 7142246832 10713370248 14284493664 21426740496 42853480992