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21204682322040 = 2333572804852159
BaseRepresentation
bin1001101001001000110011…
…00011101011000001111000
32210002010222202210012222000
410310210121203223001320
510234404142133301130
6113033144021101000
74315662536554410
oct464443143530170
983063882705860
1021204682322040
116835945402a68
122465739257760
13baa79297cca9
14534452591640
1526b8b0b76260
hex1349198eb078

21204682322040 has 128 divisors (see below), whose sum is σ = 80779742208000. Its totient is φ = 4846784529024.

The previous prime is 21204682322009. The next prime is 21204682322113. The reversal of 21204682322040 is 4022328640212.

21204682322040 is a `hidden beast` number, since 2 + 120 + 468 + 2 + 32 + 2 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21204682321986 and 21204682322004.

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, 1402418520 + ... + 1402433639.

It is an arithmetic number, because the mean of its divisors is an integer number (631091736000).

Almost surely, 221204682322040 is an apocalyptic number.

21204682322040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21204682322040 is an abundant number, since it is smaller than the sum of its proper divisors (59575059885960).

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

21204682322040 is a wasteful number, since it uses less digits than its factorization.

21204682322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804852186 (or 2804852176 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 21204682322040 in words is "twenty-one trillion, two hundred four billion, six hundred eighty-two million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 2804852159 5609704318 8414556477 11219408636 14024260795 16829112954 19633965113 22438817272 25243669431 28048521590 33658225908 39267930226 42072782385 50487338862 56097043180 58901895339 67316451816 75731008293 78535860452 84145564770 98169825565 100974677724 112194086360 117803790678 126218347155 151462016586 157071720904 168291129540 176705686017 196339651130 201949355448 235607581356 252436694310 294509476695 302924033172 336582259080 353411372034 378655041465 392679302260 471215162712 504873388620 530117058051 589018953390 605848066344 706822744068 757310082930 785358604520 883528430085 1009746777240 1060234116102 1178037906780 1413645488136 1514620165860 1767056860170 2120468232204 2356075813560 2650585290255 3029240331720 3534113720340 4240936464408 5301170580510 7068227440680 10602341161020 21204682322040