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5320999434240 = 211345717313747
BaseRepresentation
bin100110101101110010001…
…0001111111100000000000
3200211200102121011221110000
41031123210101333200000
51144134401323343430
615152233340240000
71056300216635040
oct115334421774000
920750377157400
105320999434240
11177169450a596
1271b2b3b40000
132c79ca66a2b9
14145775811720
1593628769e60
hex4d6e447f800

5320999434240 has 3840 divisors, whose sum is σ = 24987789066240. Its totient is φ = 1054888427520.

The previous prime is 5320999434221. The next prime is 5320999434281. The reversal of 5320999434240 is 424349990235.

5320999434240 is a `hidden beast` number, since 5 + 3 + 209 + 9 + 9 + 4 + 3 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 113212753897 + ... + 113212753943.

It is an arithmetic number, because the mean of its divisors is an integer number (6507236736).

Almost surely, 25320999434240 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 5320999434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12493894533120).

5320999434240 is an abundant number, since it is smaller than the sum of its proper divisors (19666789632000).

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

5320999434240 is a wasteful number, since it uses less digits than its factorization.

5320999434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 5320999434240 in words is "five trillion, three hundred twenty billion, nine hundred ninety-nine million, four hundred thirty-four thousand, two hundred forty".