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54439204950 = 2365213131877
BaseRepresentation
bin110010101100110101…
…000101100001010110
312012111221222011000000
4302230311011201112
51342442414024300
641001541032130
73635024415144
oct625465054126
9165457864000
1054439204950
11210a656a479
12a6736b5646
13519767b710
1428c6132594
151639474c00
hexcacd45856

54439204950 has 336 divisors, whose sum is σ = 164929975056. Its totient is φ = 13282963200.

The previous prime is 54439204943. The next prime is 54439204973. The reversal of 54439204950 is 5940293445.

54439204950 is a `hidden beast` number, since 5 + 4 + 439 + 204 + 9 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 54439204896 and 54439204905.

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 167 ways as a sum of consecutive naturals, for example, 62073912 + ... + 62074788.

It is an arithmetic number, because the mean of its divisors is an integer number (490863021).

Almost surely, 254439204950 is an apocalyptic number.

54439204950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54439204950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82464987528).

54439204950 is an abundant number, since it is smaller than the sum of its proper divisors (110490770106).

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

54439204950 is a wasteful number, since it uses less digits than its factorization.

54439204950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 54439204950 in words is "fifty-four billion, four hundred thirty-nine million, two hundred four thousand, nine hundred fifty".