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20450013004240 = 2451631913819787
BaseRepresentation
bin1001010011001011000111…
…10000101100000111010000
32200102000001120022201201221
410221211203300230013100
510140023111312113430
6111254334542334424
74210315246316611
oct451454360540720
980360046281657
1020450013004240
116574890234796
122363423b8a414
13b54574295bc1
14509b00777c08
15256e4234257a
hex129963c2c1d0

20450013004240 has 80 divisors (see below), whose sum is σ = 47863040372928. Its totient is φ = 8125561433088.

The previous prime is 20450013004231. The next prime is 20450013004249. The reversal of 20450013004240 is 4240031005402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20450013004231) and next prime (20450013004249).

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

It is a super-2 number, since 2×204500130042402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20450013004249) 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, 24535627 + ... + 25355413.

Almost surely, 220450013004240 is an apocalyptic number.

20450013004240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20450013004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23931520186464).

20450013004240 is an abundant number, since it is smaller than the sum of its proper divisors (27413027368688).

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

20450013004240 is a wasteful number, since it uses less digits than its factorization.

20450013004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821876 (or 821870 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 20450013004240 its reverse (4240031005402), we get a palindrome (24690044009642).

The spelling of 20450013004240 in words is "twenty trillion, four hundred fifty billion, thirteen million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 1913 2608 3260 3826 6520 7652 9565 13040 15304 19130 30608 38260 76520 153040 311819 623638 819787 1247276 1559095 1639574 2494552 3118190 3279148 4098935 4989104 6236380 6558296 8197870 12472760 13116592 16395740 24945520 32791480 65582960 133625281 267250562 534501124 668126405 1069002248 1336252810 1568252531 2138004496 2672505620 3136505062 5345011240 6273010124 7841262655 10690022480 12546020248 15682525310 25092040496 31365050620 62730101240 125460202480 255625162553 511250325106 1022500650212 1278125812765 2045001300424 2556251625530 4090002600848 5112503251060 10225006502120 20450013004240