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26436134340 = 223257111907369
BaseRepresentation
bin11000100111101101…
…110110010111000100
32112020101020202202200
4120213231312113010
5413120122244330
620051122034500
71624053301650
oct304755662704
975211222680
1026436134340
1110236566010
1251594a8a30
132653c27155
1413cadc3a60
15a4ad03a60
hex627b765c4

26436134340 has 144 divisors (see below), whose sum is σ = 99976705920. Its totient is φ = 5493219840.

The previous prime is 26436134293. The next prime is 26436134341. The reversal of 26436134340 is 4343163462.

26436134340 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 613 + 4 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26436134295 and 26436134304.

It is not an unprimeable number, because it can be changed into a prime (26436134341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 939825 + ... + 967544.

It is an arithmetic number, because the mean of its divisors is an integer number (694282680).

Almost surely, 226436134340 is an apocalyptic number.

26436134340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26436134340 is an abundant number, since it is smaller than the sum of its proper divisors (73540571580).

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

26436134340 is a wasteful number, since it uses less digits than its factorization.

26436134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907402 (or 1907397 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 26436134340 in words is "twenty-six billion, four hundred thirty-six million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 1907369 3814738 5722107 7629476 9536845 11444214 13351583 17166321 19073690 20981059 22888428 26703166 28610535 34332642 38147380 40054749 41962118 53406332 57221070 62943177 66757915 68665284 80109498 83924236 85831605 104905295 114442140 120164247 125886354 133515830 146867413 160218996 171663210 188829531 200273745 209810590 240328494 251772708 267031660 293734826 314715885 343326420 377659062 400547490 419621180 440602239 480656988 587469652 600821235 629431770 734337065 755318124 801094980 881204478 944147655 1201642470 1258863540 1321806717 1468674130 1762408956 1888295310 2203011195 2403284940 2643613434 2937348260 3776590620 4406022390 5287226868 6609033585 8812044780 13218067170 26436134340