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54363436344 = 23327199754013
BaseRepresentation
bin110010101000010100…
…000011010100111000
312012022200101201000100
4302220110003110320
51342314014430334
640550233035400
73633114404340
oct625024032470
9165280351010
1054363436344
1121067819398
12a652255b60
135184a70319
1428ba04bd20
1516329a9c99
hexca8503538

54363436344 has 96 divisors (see below), whose sum is σ = 168355156320. Its totient is φ = 15524345088.

The previous prime is 54363436343. The next prime is 54363436397. The reversal of 54363436344 is 44363436345.

54363436344 is a `hidden beast` number, since 5 + 4 + 3 + 6 + 3 + 4 + 3 + 634 + 4 = 666.

It is a super-2 number, since 2×543634363442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54363436344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54363436343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979482 + ... + 1033494.

It is an arithmetic number, because the mean of its divisors is an integer number (1753699545).

Almost surely, 254363436344 is an apocalyptic number.

It is an amenable number.

54363436344 is an abundant number, since it is smaller than the sum of its proper divisors (113991719976).

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

54363436344 is a wasteful number, since it uses less digits than its factorization.

54363436344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56029 (or 56022 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 45.

Subtracting from 54363436344 its reverse (44363436345), we obtain a palindrome (9999999999).

The spelling of 54363436344 in words is "fifty-four billion, three hundred sixty-three million, four hundred thirty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1997 3994 5991 7988 11982 13979 15976 17973 23964 27958 35946 41937 47928 54013 55916 71892 83874 108026 111832 125811 143784 162039 167748 216052 251622 324078 335496 378091 432104 486117 503244 648156 756182 972234 1006488 1134273 1296312 1512364 1944468 2268546 3024728 3402819 3888936 4537092 6805638 9074184 13611276 27222552 107863961 215727922 323591883 431455844 647183766 755047727 862911688 970775649 1294367532 1510095454 1941551298 2265143181 2588735064 3020190908 3883102596 4530286362 6040381816 6795429543 7766205192 9060572724 13590859086 18121145448 27181718172 54363436344