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55436360230144 = 28975414126537
BaseRepresentation
bin11001001101011010010001…
…00011110010010100000000
321021021122221021000211110101
430212231020203302110000
524231232131204331034
6313523040132012144
714451100454064205
oct1446551043622400
9237248837024411
1055436360230144
1116733479144023
126273b30a61054
1324c181b0b1b4a
14d991c417bcac
15662060e46514
hex326b488f2500

55436360230144 has 72 divisors (see below), whose sum is σ = 112003633320488. Its totient is φ = 27381712158720.

The previous prime is 55436360230061. The next prime is 55436360230253. The reversal of 55436360230144 is 44103206363455.

It can be written as a sum of positive squares in 4 ways, for example, as 17553418502400 + 37882941727744 = 4189680^2 + 6154912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55436360230094 and 55436360230103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11370844 + ... + 15497380.

Almost surely, 255436360230144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55436360230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56001816660244).

55436360230144 is an abundant number, since it is smaller than the sum of its proper divisors (56567273090344).

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

55436360230144 is an equidigital number, since it uses as much as digits as its factorization.

55436360230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127191 (or 4127177 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 46.

Adding to 55436360230144 its reverse (44103206363455), we get a palindrome (99539566593599).

The spelling of 55436360230144 in words is "fifty-five trillion, four hundred thirty-six billion, three hundred sixty million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 541 776 1082 1552 2164 3104 4328 6208 8656 12416 17312 24832 34624 52477 69248 104954 138496 209908 419816 839632 1679264 3358528 4126537 6717056 8253074 13434112 16506148 33012296 66024592 132049184 264098368 400274089 528196736 800548178 1056393472 1601096356 2232456517 3202192712 4464913034 6404385424 8929826068 12808770848 17859652136 25617541696 35719304272 51235083392 71438608544 102470166784 142877217088 216548282149 285754434176 433096564298 571508868352 866193128596 1732386257192 3464772514384 6929545028768 13859090057536 27718180115072 55436360230144