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363531026040020 = 225413221137637541
BaseRepresentation
bin101001010101000010010100…
…1101011000000010011010100
31202200011020010020210020012022
41102222010221223000103110
5340122043020131240040
63325055503045112312
7136400151500645366
oct12252045153002324
91680136106706168
10363531026040020
11a5917707a68893
12349328b90b8698
13127acaa074c917
1465aadd1a9cd36
152c064224d96b5
hex14aa129ac04d4

363531026040020 has 48 divisors (see below), whose sum is σ = 782277834811536. Its totient is φ = 141821721216000.

The previous prime is 363531026039977. The next prime is 363531026040029. The reversal of 363531026040020 is 20040620135363.

It can be written as a sum of positive squares in 8 ways, for example, as 49327521604 + 363481698518416 = 222098^2 + 19065196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363531026040029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66177551 + ... + 71459990.

It is an arithmetic number, because the mean of its divisors is an integer number (16297454891907).

Almost surely, 2363531026040020 is an apocalyptic number.

It is an amenable number.

363531026040020 is an abundant number, since it is smaller than the sum of its proper divisors (418746808771516).

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

363531026040020 is a wasteful number, since it uses less digits than its factorization.

363531026040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137640812 (or 137640810 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 363531026040020 its reverse (20040620135363), we get a palindrome (383571646175383).

The spelling of 363531026040020 in words is "three hundred sixty-three trillion, five hundred thirty-one billion, twenty-six million, forty thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 3221 6442 12884 16105 32210 64420 132061 264122 528244 660305 1320610 2641220 137637541 275275082 550550164 688187705 1376375410 2752750820 5643139181 11286278362 22572556724 28215695905 56431391810 112862783620 443330519561 886661039122 1773322078244 2216652597805 4433305195610 8866610391220 18176551302001 36353102604002 72706205208004 90882756510005 181765513020010 363531026040020