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21273216362000 = 245329336302417
BaseRepresentation
bin1001101011001000011101…
…00000010010011000010000
32210022200220000200011201022
410311210032200102120100
510242020021342041000
6113124440343255012
74323640063362161
oct465441640223020
983280800604638
1021273216362000
116861a14054609
122476a8514a468
13bb4095493165
145378b4605768
1526d572713585
hex13590e812610

21273216362000 has 80 divisors (see below), whose sum is σ = 51614197073712. Its totient is φ = 8480244377600.

The previous prime is 21273216361993. The next prime is 21273216362081. The reversal of 21273216362000 is 26361237212.

It can be written as a sum of positive squares in 8 ways, for example, as 2774649769984 + 18498566592016 = 1665728^2 + 4300996^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17565209 + ... + 18737208.

Almost surely, 221273216362000 is an apocalyptic number.

21273216362000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21273216362000 is an abundant number, since it is smaller than the sum of its proper divisors (30340980711712).

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

21273216362000 is a wasteful number, since it uses less digits than its factorization.

21273216362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36302733 (or 36302717 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

Adding to 21273216362000 its reverse (26361237212), we get a palindrome (21299577599212).

The spelling of 21273216362000 in words is "twenty-one trillion, two hundred seventy-three billion, two hundred sixteen million, three hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 293 400 500 586 1000 1172 1465 2000 2344 2930 4688 5860 7325 11720 14650 23440 29300 36625 58600 73250 117200 146500 293000 586000 36302417 72604834 145209668 181512085 290419336 363024170 580838672 726048340 907560425 1452096680 1815120850 2904193360 3630241700 4537802125 7260483400 9075604250 10636608181 14520966800 18151208500 21273216362 36302417000 42546432724 53183040905 72604834000 85092865448 106366081810 170185730896 212732163620 265915204525 425464327240 531830409050 850928654480 1063660818100 1329576022625 2127321636200 2659152045250 4254643272400 5318304090500 10636608181000 21273216362000