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54303434640 = 24335721361647
BaseRepresentation
bin110010100100101111…
…001010011110010000
312012011111111022011000
4302210233022132100
51342203134402030
640540251022000
73631455402300
oct624457123620
9165144438130
1054303434640
1121036967204
12a63613a900
1351754c2660
1428b20ad600
15162c5a6860
hexca4bca790

54303434640 has 960 divisors, whose sum is σ = 238529733120. Its totient is φ = 11252183040.

The previous prime is 54303434621. The next prime is 54303434651. The reversal of 54303434640 is 4643430345.

54303434640 is a `hidden beast` number, since 5 + 4 + 3 + 0 + 3 + 4 + 3 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54303434595 and 54303434604.

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 191 ways as a sum of consecutive naturals, for example, 83930797 + ... + 83931443.

It is an arithmetic number, because the mean of its divisors is an integer number (248468472).

Almost surely, 254303434640 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 54303434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119264866560).

54303434640 is an abundant number, since it is smaller than the sum of its proper divisors (184226298480).

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

54303434640 is a wasteful number, since it uses less digits than its factorization.

54303434640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 54303434640 its reverse (4643430345), we get a palindrome (58946864985).

The spelling of 54303434640 in words is "fifty-four billion, three hundred three million, four hundred thirty-four thousand, six hundred forty".