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54364446344 = 23131493978837
BaseRepresentation
bin110010101000010111…
…111001111010001000
312012022202022000110202
4302220113321322020
51342314244240334
640550310431332
73633126112055
oct625027717210
9165282260422
1054364446344
11210683491aa
12a652662548
135185034c60
1428ba23202c
151632b0917e
hexca85f9e88

54364446344 has 64 divisors (see below), whose sum is σ = 110802006000. Its totient is φ = 24857293824.

The previous prime is 54364446343. The next prime is 54364446361. The reversal of 54364446344 is 44364446345.

54364446344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 30196012900 + 24168433444 = 173770^2 + 155462^2 .

It is not an unprimeable number, because it can be changed into a prime (54364446343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6147494 + ... + 6156330.

Almost surely, 254364446344 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 54364446344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55401003000).

54364446344 is an abundant number, since it is smaller than the sum of its proper divisors (56437559656).

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

54364446344 is a wasteful number, since it uses less digits than its factorization.

54364446344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402 (or 9398 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 47.

Subtracting from 54364446344 its reverse (44364446345), we obtain a palindrome (9999999999).

The spelling of 54364446344 in words is "fifty-four billion, three hundred sixty-four million, four hundred forty-six thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 149 298 397 596 794 1192 1588 1937 3176 3874 5161 7748 8837 10322 15496 17674 20644 35348 41288 59153 70696 114881 118306 229762 236612 459524 473224 768989 919048 1316713 1537978 2633426 3075956 3508289 5266852 6151912 7016578 10533704 14033156 17117269 28066312 34234538 45607757 68469076 91215514 136938152 182431028 364862056 522735061 1045470122 2090940244 4181880488 6795555793 13591111586 27182223172 54364446344