Search a number
-
+
20592630264 = 2331729113259
BaseRepresentation
bin10011001011011010…
…101001100111111000
31222011010200000010210
4103023122221213320
5314133203132024
613243215311120
71326206316633
oct231332514770
958133600123
1020592630264
1188080039a8
123ba851b4a0
131c323c2c2b
14dd4cb0c1a
15807cd0129
hex4cb6a99f8

20592630264 has 96 divisors (see below), whose sum is σ = 54764870400. Its totient is φ = 6451361280.

The previous prime is 20592630259. The next prime is 20592630299. The reversal of 20592630264 is 46203629502.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6317067 + ... + 6320325.

It is an arithmetic number, because the mean of its divisors is an integer number (570467400).

Almost surely, 220592630264 is an apocalyptic number.

20592630264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20592630264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27382435200).

20592630264 is an abundant number, since it is smaller than the sum of its proper divisors (34172240136).

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

20592630264 is a wasteful number, since it uses less digits than its factorization.

20592630264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 20592630264 in words is "twenty billion, five hundred ninety-two million, six hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 911 1156 1734 1822 2312 2733 3259 3468 3644 5466 6518 6936 7288 9777 10932 13036 15487 19554 21864 26072 30974 39108 46461 55403 61948 78216 92922 110806 123896 166209 185844 221612 263279 332418 371688 443224 526558 664836 789837 941851 1053116 1329672 1579674 1883702 2106232 2825553 2968949 3159348 3767404 5651106 5937898 6318696 7534808 8906847 11302212 11875796 17813694 22604424 23751592 35627388 50472133 71254776 100944266 151416399 201888532 302832798 403777064 605665596 858026261 1211331192 1716052522 2574078783 3432105044 5148157566 6864210088 10296315132 20592630264