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54439600536 = 233215710494591
BaseRepresentation
bin110010101100110110…
…100110000110011000
312012111222201020122100
4302230312212012120
51342443014204121
641001553323400
73635030653356
oct625466460630
9165458636570
1054439600536
11210a680a702
12a673866560
1351977897a9
1428c61d67d6
151639502026
hexcacda6198

54439600536 has 96 divisors (see below), whose sum is σ = 148553496000. Its totient is φ = 18009838080.

The previous prime is 54439600511. The next prime is 54439600561. The reversal of 54439600536 is 63500693445.

54439600536 is a `hidden beast` number, since 5 + 4 + 4 + 3 + 9 + 600 + 5 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (54439600511) and next prime (54439600561).

It is a junction number, because it is equal to n+sod(n) for n = 54439600491 and 54439600500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11855601 + ... + 11860191.

It is an arithmetic number, because the mean of its divisors is an integer number (1547432250).

Almost surely, 254439600536 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 54439600536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74276748000).

54439600536 is an abundant number, since it is smaller than the sum of its proper divisors (94113895464).

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

54439600536 is a wasteful number, since it uses less digits than its factorization.

54439600536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 54439600536 in words is "fifty-four billion, four hundred thirty-nine million, six hundred thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1049 1256 1413 1884 2098 2826 3147 3768 4196 4591 5652 6294 8392 9182 9441 11304 12588 13773 18364 18882 25176 27546 36728 37764 41319 55092 75528 82638 110184 164693 165276 329386 330552 494079 658772 720787 988158 1317544 1441574 1482237 1976316 2162361 2883148 2964474 3952632 4324722 4815959 5766296 5928948 6487083 8649444 9631918 11857896 12974166 14447877 17298888 19263836 25948332 28895754 38527672 43343631 51896664 57791508 86687262 115583016 173374524 346749048 756105563 1512211126 2268316689 3024422252 4536633378 6048844504 6804950067 9073266756 13609900134 18146533512 27219800268 54439600536