Search a number
-
+
20434545454104 = 233215710093179107
BaseRepresentation
bin1001010010101110010011…
…10100101010110000011000
32200100112010121101202211200
410221113021310222300120
510134244422114012404
6111243300043154200
74206230041314345
oct451271164526030
980315117352750
1020434545454104
1165692731aa401
122360427b15960
13b52c7a916b82
145090744077cc
15256839474839
hex1295c9d2ac18

20434545454104 has 96 divisors (see below), whose sum is σ = 55701896643120. Its totient is φ = 6767421343488.

The previous prime is 20434545454097. The next prime is 20434545454157. The reversal of 20434545454104 is 40145454543402.

20434545454104 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 4 + 54 + 54 + 541 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20434545454104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114001719 + ... + 114180825.

Almost surely, 220434545454104 is an apocalyptic number.

20434545454104 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 20434545454104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27850948321560).

20434545454104 is an abundant number, since it is smaller than the sum of its proper divisors (35267351189016).

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

20434545454104 is a wasteful number, since it uses less digits than its factorization.

20434545454104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189369 (or 189362 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

Adding to 20434545454104 its reverse (40145454543402), we get a palindrome (60579999997506).

The spelling of 20434545454104 in words is "twenty trillion, four hundred thirty-four billion, five hundred forty-five million, four hundred fifty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 10093 11304 20186 30279 40372 60558 80744 90837 121116 179107 181674 242232 358214 363348 537321 716428 726696 1074642 1432856 1584601 1611963 2149284 3169202 3223926 4298568 4753803 6338404 6447852 9507606 12676808 12895704 14261409 19015212 28119799 28522818 38030424 56239598 57045636 84359397 112479196 114091272 168718794 224958392 253078191 337437588 506156382 674875176 1012312764 1807726951 2024625528 3615453902 5423180853 7230907804 10846361706 14461815608 16269542559 21692723412 32539085118 43385446824 65078170236 130156340472 283813131307 567626262614 851439393921 1135252525228 1702878787842 2270505050456 2554318181763 3405757575684 5108636363526 6811515151368 10217272727052 20434545454104