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20582118108 = 22321075343229
BaseRepresentation
bin10011001010110010…
…100011001011011100
31222010101212221011200
4103022302203023130
5314123010234413
613242202115500
71326021055146
oct231262431334
958111787150
1020582118108
118802083a72
123ba4aabb90
131c30182216
14dd3735c96
15806e05573
hex4caca32dc

20582118108 has 36 divisors (see below), whose sum is σ = 52513264440. Its totient is φ = 6796586016.

The previous prime is 20582118101. The next prime is 20582118149. The reversal of 20582118108 is 80181128502.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×205821181082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20582118101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2667763 + ... + 2675466.

It is an arithmetic number, because the mean of its divisors is an integer number (1458701790).

Almost surely, 220582118108 is an apocalyptic number.

It is an amenable number.

20582118108 is an abundant number, since it is smaller than the sum of its proper divisors (31931146332).

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

20582118108 is a wasteful number, since it uses less digits than its factorization.

20582118108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343346 (or 5343341 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 20582118108 in words is "twenty billion, five hundred eighty-two million, one hundred eighteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 5343229 10686458 16029687 21372916 32059374 48089061 64118748 96178122 192356244 571725503 1143451006 1715176509 2286902012 3430353018 5145529527 6860706036 10291059054 20582118108