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54250514440 = 23537180120353
BaseRepresentation
bin110010100001100101…
…010010100000001000
312012000210220200021121
4302201211102200020
51342101112430230
640531120445024
73630243523063
oct624145224010
9165023820247
1054250514440
112100a001501
12a620479774
135167554025
1428a90558da
151627b0177a
hexca1952808

54250514440 has 64 divisors (see below), whose sum is σ = 125438445360. Its totient is φ = 21100953600.

The previous prime is 54250514431. The next prime is 54250514441. The reversal of 54250514440 is 4441505245.

It can be written as a sum of positive squares in 8 ways, for example, as 20864646916 + 33385867524 = 144446^2 + 182718^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54250514396 and 54250514405.

It is not an unprimeable number, because it can be changed into a prime (54250514441) 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, 2655304 + ... + 2675656.

Almost surely, 254250514440 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 54250514440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62719222680).

54250514440 is an abundant number, since it is smaller than the sum of its proper divisors (71187930920).

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

54250514440 is a wasteful number, since it uses less digits than its factorization.

54250514440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22202 (or 22198 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

The spelling of 54250514440 in words is "fifty-four billion, two hundred fifty million, five hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 1801 3602 7204 9005 14408 18010 20353 36020 40706 66637 72040 81412 101765 133274 162824 203530 266548 333185 407060 533096 666370 753061 814120 1332740 1506122 2665480 3012244 3765305 6024488 7530610 15061220 30122440 36655753 73311506 146623012 183278765 293246024 366557530 733115060 1356262861 1466230120 2712525722 5425051444 6781314305 10850102888 13562628610 27125257220 54250514440