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54341125300 = 225271141434003
BaseRepresentation
bin110010100110111110…
…111100010010110100
312012021010102012000101
4302212332330102310
51342242312002200
640544114523444
73632423641510
oct624676742264
9165233365011
1054341125300
112105616a810
12a646896584
13518025b017
1428b70c1140
151630a4e26a
hexca6fbc4b4

54341125300 has 288 divisors, whose sum is σ = 154144134144. Its totient is φ = 16136064000.

The previous prime is 54341125291. The next prime is 54341125301. The reversal of 54341125300 is 352114345.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54341125301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13573099 + ... + 13577101.

It is an arithmetic number, because the mean of its divisors is an integer number (535222688).

Almost surely, 254341125300 is an apocalyptic number.

54341125300 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 54341125300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77072067072).

54341125300 is an abundant number, since it is smaller than the sum of its proper divisors (99803008844).

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

54341125300 is a wasteful number, since it uses less digits than its factorization.

54341125300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 54341125300 its reverse (352114345), we get a palindrome (54693239645).

It can be divided in two parts, 543411 and 25300, that added together give a triangular number (568711 = T1066).

The spelling of 54341125300 in words is "fifty-four billion, three hundred forty-one million, one hundred twenty-five thousand, three hundred".