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54434011000 = 235366182351
BaseRepresentation
bin110010101100100001…
…010001011101111000
312012111121012021020111
4302230201101131320
51342440101323000
641001233434104
73634632313345
oct625441213570
9165447167214
1054434011000
11210a3642156
12a671a0b934
135196580585
1428c557d7cc
151638c9acba
hexcac851778

54434011000 has 64 divisors (see below), whose sum is σ = 127569836160. Its totient is φ = 21740400000.

The previous prime is 54434010997. The next prime is 54434011001. The reversal of 54434011000 is 11043445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54434011001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 619825 + ... + 702175.

It is an arithmetic number, because the mean of its divisors is an integer number (1993278690).

Almost surely, 254434011000 is an apocalyptic number.

54434011000 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 54434011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63784918080).

54434011000 is an abundant number, since it is smaller than the sum of its proper divisors (73135825160).

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

54434011000 is a wasteful number, since it uses less digits than its factorization.

54434011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83033 (or 83019 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 54434011000 its reverse (11043445), we get a palindrome (54445054445).

The spelling of 54434011000 in words is "fifty-four billion, four hundred thirty-four million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 661 1000 1322 2644 3305 5288 6610 13220 16525 26440 33050 66100 82351 82625 132200 164702 165250 329404 330500 411755 658808 661000 823510 1647020 2058775 3294040 4117550 8235100 10293875 16470200 20587750 41175500 54434011 82351000 108868022 217736044 272170055 435472088 544340110 1088680220 1360850275 2177360440 2721700550 5443401100 6804251375 10886802200 13608502750 27217005500 54434011000