Search a number
-
+
20580536064 = 283112436143
BaseRepresentation
bin10011001010101100…
…100000111100000000
31222010021220120000110
4103022230200330000
5314122104123224
613242104151320
71326001445604
oct231254407400
958107816013
1020580536064
1188011a33a0
123ba4468540
131c2ca4a0ba
14dd3443504
15806be1929
hex4cab20f00

20580536064 has 72 divisors (see below), whose sum is σ = 59753740032. Its totient is φ = 6236523520.

The previous prime is 20580536059. The next prime is 20580536083. The reversal of 20580536064 is 46063508502.

It is a super-2 number, since 2×205805360642 (a number of 21 digits) contains 22 as substring.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 1209624 + ... + 1226519.

It is an arithmetic number, because the mean of its divisors is an integer number (829913056).

Almost surely, 220580536064 is an apocalyptic number.

20580536064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20580536064 is an abundant number, since it is smaller than the sum of its proper divisors (39173203968).

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

20580536064 is a wasteful number, since it uses less digits than its factorization.

20580536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436173 (or 2436159 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 20580536064 in words is "twenty billion, five hundred eighty million, five hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 2436143 4872286 7308429 9744572 14616858 19489144 26797573 29233716 38978288 53595146 58467432 77956576 80392719 107190292 116934864 155913152 160785438 214380584 233869728 311826304 321570876 428761168 467739456 623652608 643141752 857522336 935478912 1286283504 1715044672 1870957824 2572567008 3430089344 5145134016 6860178688 10290268032 20580536064