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54334005660 = 2233511172311021
BaseRepresentation
bin110010100110100011…
…110010000110011100
312012020122000110201000
4302212203302012130
51342234001140120
640543302150300
73632306266524
oct624643620634
9165218013630
1054334005660
1121052147710
12a644422390
13517b93750c
1428b618a684
1516300e4990
hexca68f219c

54334005660 has 576 divisors, whose sum is σ = 202408980480. Its totient is φ = 11985408000.

The previous prime is 54334005659. The next prime is 54334005667. The reversal of 54334005660 is 6650043345.

54334005660 is a `hidden beast` number, since 54 + 3 + 3 + 40 + 0 + 566 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54334005667) 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 191 ways as a sum of consecutive naturals, for example, 53215950 + ... + 53216970.

It is an arithmetic number, because the mean of its divisors is an integer number (351404480).

Almost surely, 254334005660 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 54334005660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101204490240).

54334005660 is an abundant number, since it is smaller than the sum of its proper divisors (148074974820).

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

54334005660 is a wasteful number, since it uses less digits than its factorization.

54334005660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 54334005660 in words is "fifty-four billion, three hundred thirty-four million, five thousand, six hundred sixty".