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54343075400 = 23521798811723
BaseRepresentation
bin110010100111000110…
…011000011001001000
312012021021002021001022
4302213012120121020
51342243311403100
640544224412012
73632446343105
oct624706303110
9165237067038
1054343075400
1121057281969
12a647477008
135180791823
1428b746baac
151630cd6e85
hexca7198648

54343075400 has 96 divisors (see below), whose sum is σ = 127271541600. Its totient is φ = 21578726400.

The previous prime is 54343075309. The next prime is 54343075433. The reversal of 54343075400 is 457034345.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31538939 + ... + 31540661.

It is an arithmetic number, because the mean of its divisors is an integer number (1325745225).

Almost surely, 254343075400 is an apocalyptic number.

54343075400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54343075400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63635770800).

54343075400 is an abundant number, since it is smaller than the sum of its proper divisors (72928466200).

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

54343075400 is a wasteful number, since it uses less digits than its factorization.

54343075400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 35.

The spelling of 54343075400 in words is "fifty-four billion, three hundred forty-three million, seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 179 200 358 716 881 895 1432 1723 1762 1790 3446 3524 3580 4405 4475 6892 7048 7160 8615 8810 8950 13784 17230 17620 17900 22025 34460 35240 35800 43075 44050 68920 86150 88100 157699 172300 176200 308417 315398 344600 616834 630796 788495 1233668 1261592 1517963 1542085 1576990 2467336 3035926 3084170 3153980 3942475 6071852 6168340 6307960 7589815 7710425 7884950 12143704 12336680 15179630 15420850 15769900 30359260 30841700 31539800 37949075 60718520 61683400 75898150 151796300 271715377 303592600 543430754 1086861508 1358576885 2173723016 2717153770 5434307540 6792884425 10868615080 13585768850 27171537700 54343075400