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20624406543 = 361319711047
BaseRepresentation
bin10011001101010011…
…110111100000001111
31222020100110102000000
4103031103313200033
5314214322002133
613250312335343
71330043364066
oct231523674017
958210412000
1020624406543
118823a37994
123bb70a4553
131c38b6a570
14dd91c31dd
1580a9aa413
hex4cd4f780f

20624406543 has 56 divisors (see below), whose sum is σ = 33473186208. Its totient is φ = 12626373312.

The previous prime is 20624406527. The next prime is 20624406581. The reversal of 20624406543 is 34560442602.

20624406543 is a `hidden beast` number, since 20 + 624 + 4 + 0 + 6 + 5 + 4 + 3 = 666.

It is a Cunningham number, because it is equal to 1436122-1.

It is not a de Polignac number, because 20624406543 - 24 = 20624406527 is a prime.

It is a super-2 number, since 2×206244065432 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20624406498 and 20624406507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20624406643) 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 55 ways as a sum of consecutive naturals, for example, 1861446 + ... + 1872492.

It is an arithmetic number, because the mean of its divisors is an integer number (597735468).

Almost surely, 220624406543 is an apocalyptic number.

20624406543 is a deficient number, since it is larger than the sum of its proper divisors (12848779665).

20624406543 is a wasteful number, since it uses less digits than its factorization.

20624406543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11275 (or 11260 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 20624406543 in words is "twenty billion, six hundred twenty-four million, four hundred six thousand, five hundred forty-three".

Divisors: 1 3 9 13 27 39 81 117 197 243 351 591 729 1053 1773 2561 3159 5319 7683 9477 11047 15957 23049 33141 47871 69147 99423 143611 143613 207441 298269 430833 622323 894807 1292499 1866969 2176259 2684421 3877497 6528777 8053263 11632491 19586331 28291367 34897473 58758993 84874101 104692419 176276979 254622303 528830937 763866909 1586492811 2291600727 6874802181 20624406543