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54533533440 = 2835311812531
BaseRepresentation
bin110010110010011100…
…111010111100000000
312012202112110112100210
4302302130322330000
51343141041032230
641015150514120
73640251246261
oct626234727400
9165675415323
1054533533440
1121144837901
12a69b205940
1351b10878a9
1428d4888968
1516428a8eb0
hexcb273af00

54533533440 has 288 divisors, whose sum is σ = 180849457152. Its totient is φ = 13989888000.

The previous prime is 54533533403. The next prime is 54533533441. The reversal of 54533533440 is 4433533545.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54533533441) 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 31 ways as a sum of consecutive naturals, for example, 21544975 + ... + 21547505.

It is an arithmetic number, because the mean of its divisors is an integer number (627949504).

Almost surely, 254533533440 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 54533533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90424728576).

54533533440 is an abundant number, since it is smaller than the sum of its proper divisors (126315923712).

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

54533533440 is a wasteful number, since it uses less digits than its factorization.

54533533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 39.

The spelling of 54533533440 in words is "fifty-four billion, five hundred thirty-three million, five hundred thirty-three thousand, four hundred forty".