Search a number
-
+
20989780482 = 2311536198369
BaseRepresentation
bin10011100011000101…
…101010001000000010
32000011210222022211010
4103203011222020002
5320441340433412
613350443501350
71342101122166
oct234305521002
960153868733
1020989780482
1189a1202820
124099527856
131c96777368
141031932ca6
1582cace33c
hex4e316a202

20989780482 has 64 divisors (see below), whose sum is σ = 47425357440. Its totient is φ = 6138163200.

The previous prime is 20989780477. The next prime is 20989780499. The reversal of 20989780482 is 28408798902.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164194 + ... + 262562.

It is an arithmetic number, because the mean of its divisors is an integer number (741021210).

Almost surely, 220989780482 is an apocalyptic number.

20989780482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20989780482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23712678720).

20989780482 is an abundant number, since it is smaller than the sum of its proper divisors (26435576958).

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

20989780482 is a wasteful number, since it uses less digits than its factorization.

20989780482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98499.

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 20989780482 in words is "twenty billion, nine hundred eighty-nine million, seven hundred eighty thousand, four hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 53 61 66 106 122 159 183 318 366 583 671 1166 1342 1749 2013 3233 3498 4026 6466 9699 19398 35563 71126 98369 106689 196738 213378 295107 590214 1082059 2164118 3246177 5213557 6000509 6492354 10427114 12001018 15640671 18001527 31281342 36003054 57349127 66005599 114698254 132011198 172047381 198016797 318026977 344094762 396033594 636053954 954080931 1908161862 3498296747 6996593494 10494890241 20989780482