Search a number
-
+
20582119872 = 263312793787
BaseRepresentation
bin10011001010110010…
…100011100111000000
31222010101220000121000
4103022302203213000
5314123010313442
613242202132000
71326021063246
oct231262434700
958111800530
1020582119872
118802085326
123ba4ab1000
131c30182c72
14dd3736796
15806e05d4c
hex4caca39c0

20582119872 has 112 divisors (see below), whose sum is σ = 60984709120. Its totient is φ = 6806612736.

The previous prime is 20582119849. The next prime is 20582119879. The reversal of 20582119872 is 27891128502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20582119879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172563 + ... + 266349.

Almost surely, 220582119872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20582119872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30492354560).

20582119872 is an abundant number, since it is smaller than the sum of its proper divisors (40402589248).

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

20582119872 is a wasteful number, since it uses less digits than its factorization.

20582119872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93935 (or 93919 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 20582119872 in words is "twenty billion, five hundred eighty-two million, one hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 144 192 216 254 288 381 432 508 576 762 864 1016 1143 1524 1728 2032 2286 3048 3429 4064 4572 6096 6858 8128 9144 12192 13716 18288 24384 27432 36576 54864 73152 93787 109728 187574 219456 281361 375148 562722 750296 844083 1125444 1500592 1688166 2250888 2532249 3001184 3376332 4501776 5064498 6002368 6752664 9003552 10128996 11910949 13505328 18007104 20257992 23821898 27010656 35732847 40515984 47643796 54021312 71465694 81031968 95287592 107198541 142931388 162063936 190575184 214397082 285862776 321595623 381150368 428794164 571725552 643191246 762300736 857588328 1143451104 1286382492 1715176656 2286902208 2572764984 3430353312 5145529968 6860706624 10291059936 20582119872