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18718982983936 = 28113223932
BaseRepresentation
bin1000100000110010110100…
…10101001101000100000000
32110021111222002221112220201
410100121122111031010000
54423142434120441221
6103451214305414544
73641254564032544
oct420313225150400
973244862845821
1018718982983936
115a67748989724
122123a4563a454
13a5a266c79b91
1448a009c9ba24
15226dcc788891
hex11065a54d100

18718982983936 has 81 divisors (see below), whose sum is σ = 37714193712559. Its totient is φ = 9272787550208.

The previous prime is 18718982983933. The next prime is 18718982983937. The reversal of 18718982983936 is 63938928981781.

It is a happy number.

The square root of 18718982983936 is 4326544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17311058350336 + 1407924633600 = 4160656^2 + 1186560^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18718982983936.

It is not an unprimeable number, because it can be changed into a prime (18718982983933) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7822390356 + ... + 7822392748.

Almost surely, 218718982983936 is an apocalyptic number.

18718982983936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18718982983936 is the 4326544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18718982983936

18718982983936 is an abundant number, since it is smaller than the sum of its proper divisors (18995210728623).

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

18718982983936 is an frugal number, since it uses more digits than its factorization.

18718982983936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 2508 counting only the distinct ones).

The product of its digits is 2257403904, while the sum is 82.

The spelling of 18718982983936 in words is "eighteen trillion, seven hundred eighteen billion, nine hundred eighty-two million, nine hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 904 1808 2393 3616 4786 7232 9572 12769 14464 19144 25538 28928 38288 51076 76576 102152 153152 204304 270409 306304 408608 540818 612608 817216 1081636 1634432 2163272 3268864 4326544 5726449 8653088 11452898 17306176 22905796 30556217 34612352 45811592 61112434 69224704 91623184 122224868 183246368 244449736 366492736 488899472 647088737 732985472 977798944 1294177474 1465970944 1955597888 2588354948 3911195776 5176709896 7822391552 10353419792 20706839584 41413679168 73121027281 82827358336 146242054562 165654716672 292484109124 584968218248 1169936436496 2339872872992 4679745745984 9359491491968 18718982983936