Search a number
-
+
20266712544 = 2531322275503
BaseRepresentation
bin10010110111111111…
…010111110111100000
31221022102101200002010
4102313333113313200
5313001234300134
613151013552520
71315141133331
oct226777276740
957272350063
1020266712544
118660038111
123b17345740
131baca1c300
14da38b2288
157d93a1ce9
hex4b7fd7de0

20266712544 has 144 divisors (see below), whose sum is σ = 57871521792. Its totient is φ = 6207312384.

The previous prime is 20266712491. The next prime is 20266712569. The reversal of 20266712544 is 44521766202.

It is a super-2 number, since 2×202667125442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3680097 + ... + 3685599.

It is an arithmetic number, because the mean of its divisors is an integer number (401885568).

Almost surely, 220266712544 is an apocalyptic number.

20266712544 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 20266712544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28935760896).

20266712544 is an abundant number, since it is smaller than the sum of its proper divisors (37604809248).

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

20266712544 is a wasteful number, since it uses less digits than its factorization.

20266712544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 20266712544 in words is "twenty billion, two hundred sixty-six million, seven hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 227 312 338 416 454 507 624 676 681 908 1014 1248 1352 1362 1816 2028 2704 2724 2951 3632 4056 5408 5448 5503 5902 7264 8112 8853 10896 11006 11804 16224 16509 17706 21792 22012 23608 33018 35412 38363 44024 47216 66036 70824 71539 76726 88048 94432 115089 132072 141648 143078 153452 176096 214617 230178 264144 283296 286156 306904 429234 460356 528288 572312 613808 858468 920712 930007 1144624 1227616 1249181 1716936 1841424 1860014 2289248 2498362 2790021 3433872 3682848 3720028 3747543 4996724 5580042 6867744 7440056 7495086 9993448 11160084 14880112 14990172 16239353 19986896 22320168 29760224 29980344 32478706 39973792 44640336 48718059 59960688 64957412 89280672 97436118 119921376 129914824 194872236 211111589 259829648 389744472 422223178 519659296 633334767 779488944 844446356 1266669534 1558977888 1688892712 2533339068 3377785424 5066678136 6755570848 10133356272 20266712544